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Simplifying (Y3 + 3xy2 + -7x + 2y + -4) + -1(3y3 + 4xy + -6x + -2y + -1) = 0 Reorder the terms: (-4 + Y3 + -7x + 3xy2 + 2y) + -1(3y3 + 4xy + -6x + -2y + -1) = 0 Remove parenthesis around (-4 + Y3 + -7x + 3xy2 + 2y) -4 + Y3 + -7x + 3xy2 + 2y + -1(3y3 + 4xy + -6x + -2y + -1) = 0 Reorder the terms: -4 + Y3 + -7x + 3xy2 + 2y + -1(-1 + -6x + 4xy + -2y + 3y3) = 0 -4 + Y3 + -7x + 3xy2 + 2y + (-1 * -1 + -6x * -1 + 4xy * -1 + -2y * -1 + 3y3 * -1) = 0 -4 + Y3 + -7x + 3xy2 + 2y + (1 + 6x + -4xy + 2y + -3y3) = 0 Reorder the terms: -4 + 1 + Y3 + -7x + 6x + -4xy + 3xy2 + 2y + 2y + -3y3 = 0 Combine like terms: -4 + 1 = -3 -3 + Y3 + -7x + 6x + -4xy + 3xy2 + 2y + 2y + -3y3 = 0 Combine like terms: -7x + 6x = -1x -3 + Y3 + -1x + -4xy + 3xy2 + 2y + 2y + -3y3 = 0 Combine like terms: 2y + 2y = 4y -3 + Y3 + -1x + -4xy + 3xy2 + 4y + -3y3 = 0 Solving -3 + Y3 + -1x + -4xy + 3xy2 + 4y + -3y3 = 0 Solving for variable 'Y'. Move all terms containing Y to the left, all other terms to the right. Add '3' to each side of the equation. -3 + Y3 + -1x + -4xy + 3xy2 + 4y + 3 + -3y3 = 0 + 3 Reorder the terms: -3 + 3 + Y3 + -1x + -4xy + 3xy2 + 4y + -3y3 = 0 + 3 Combine like terms: -3 + 3 = 0 0 + Y3 + -1x + -4xy + 3xy2 + 4y + -3y3 = 0 + 3 Y3 + -1x + -4xy + 3xy2 + 4y + -3y3 = 0 + 3 Combine like terms: 0 + 3 = 3 Y3 + -1x + -4xy + 3xy2 + 4y + -3y3 = 3 Add 'x' to each side of the equation. Y3 + -1x + -4xy + 3xy2 + 4y + x + -3y3 = 3 + x Reorder the terms: Y3 + -1x + x + -4xy + 3xy2 + 4y + -3y3 = 3 + x Combine like terms: -1x + x = 0 Y3 + 0 + -4xy + 3xy2 + 4y + -3y3 = 3 + x Y3 + -4xy + 3xy2 + 4y + -3y3 = 3 + x Add '4xy' to each side of the equation. Y3 + -4xy + 3xy2 + 4y + 4xy + -3y3 = 3 + x + 4xy Reorder the terms: Y3 + -4xy + 4xy + 3xy2 + 4y + -3y3 = 3 + x + 4xy Combine like terms: -4xy + 4xy = 0 Y3 + 0 + 3xy2 + 4y + -3y3 = 3 + x + 4xy Y3 + 3xy2 + 4y + -3y3 = 3 + x + 4xy Add '-3xy2' to each side of the equation. Y3 + 3xy2 + 4y + -3xy2 + -3y3 = 3 + x + 4xy + -3xy2 Reorder the terms: Y3 + 3xy2 + -3xy2 + 4y + -3y3 = 3 + x + 4xy + -3xy2 Combine like terms: 3xy2 + -3xy2 = 0 Y3 + 0 + 4y + -3y3 = 3 + x + 4xy + -3xy2 Y3 + 4y + -3y3 = 3 + x + 4xy + -3xy2 Add '-4y' to each side of the equation. Y3 + 4y + -4y + -3y3 = 3 + x + 4xy + -3xy2 + -4y Combine like terms: 4y + -4y = 0 Y3 + 0 + -3y3 = 3 + x + 4xy + -3xy2 + -4y Y3 + -3y3 = 3 + x + 4xy + -3xy2 + -4y Add '3y3' to each side of the equation. Y3 + -3y3 + 3y3 = 3 + x + 4xy + -3xy2 + -4y + 3y3 Combine like terms: -3y3 + 3y3 = 0 Y3 + 0 = 3 + x + 4xy + -3xy2 + -4y + 3y3 Y3 = 3 + x + 4xy + -3xy2 + -4y + 3y3 Simplifying Y3 = 3 + x + 4xy + -3xy2 + -4y + 3y3 Reorder the terms: -3 + Y3 + -1x + -4xy + 3xy2 + 4y + -3y3 = 3 + x + 4xy + -3xy2 + -4y + 3y3 + -3 + -1x + -4xy + 3xy2 + 4y + -3y3 Reorder the terms: -3 + Y3 + -1x + -4xy + 3xy2 + 4y + -3y3 = 3 + -3 + x + -1x + 4xy + -4xy + -3xy2 + 3xy2 + -4y + 4y + 3y3 + -3y3 Combine like terms: 3 + -3 = 0 -3 + Y3 + -1x + -4xy + 3xy2 + 4y + -3y3 = 0 + x + -1x + 4xy + -4xy + -3xy2 + 3xy2 + -4y + 4y + 3y3 + -3y3 -3 + Y3 + -1x + -4xy + 3xy2 + 4y + -3y3 = x + -1x + 4xy + -4xy + -3xy2 + 3xy2 + -4y + 4y + 3y3 + -3y3 Combine like terms: x + -1x = 0 -3 + Y3 + -1x + -4xy + 3xy2 + 4y + -3y3 = 0 + 4xy + -4xy + -3xy2 + 3xy2 + -4y + 4y + 3y3 + -3y3 -3 + Y3 + -1x + -4xy + 3xy2 + 4y + -3y3 = 4xy + -4xy + -3xy2 + 3xy2 + -4y + 4y + 3y3 + -3y3 Combine like terms: 4xy + -4xy = 0 -3 + Y3 + -1x + -4xy + 3xy2 + 4y + -3y3 = 0 + -3xy2 + 3xy2 + -4y + 4y + 3y3 + -3y3 -3 + Y3 + -1x + -4xy + 3xy2 + 4y + -3y3 = -3xy2 + 3xy2 + -4y + 4y + 3y3 + -3y3 Combine like terms: -3xy2 + 3xy2 = 0 -3 + Y3 + -1x + -4xy + 3xy2 + 4y + -3y3 = 0 + -4y + 4y + 3y3 + -3y3 -3 + Y3 + -1x + -4xy + 3xy2 + 4y + -3y3 = -4y + 4y + 3y3 + -3y3 Combine like terms: -4y + 4y = 0 -3 + Y3 + -1x + -4xy + 3xy2 + 4y + -3y3 = 0 + 3y3 + -3y3 -3 + Y3 + -1x + -4xy + 3xy2 + 4y + -3y3 = 3y3 + -3y3 Combine like terms: 3y3 + -3y3 = 0 -3 + Y3 + -1x + -4xy + 3xy2 + 4y + -3y3 = 0 The solution to this equation could not be determined.
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