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