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Simplifying Y + -1(2y + 1) = 8 + -1(3y + 3) Reorder the terms: Y + -1(1 + 2y) = 8 + -1(3y + 3) Y + (1 * -1 + 2y * -1) = 8 + -1(3y + 3) Y + (-1 + -2y) = 8 + -1(3y + 3) Reorder the terms: -1 + Y + -2y = 8 + -1(3y + 3) Reorder the terms: -1 + Y + -2y = 8 + -1(3 + 3y) -1 + Y + -2y = 8 + (3 * -1 + 3y * -1) -1 + Y + -2y = 8 + (-3 + -3y) Combine like terms: 8 + -3 = 5 -1 + Y + -2y = 5 + -3y Solving -1 + Y + -2y = 5 + -3y Solving for variable 'Y'. Move all terms containing Y to the left, all other terms to the right. Add '1' to each side of the equation. -1 + Y + 1 + -2y = 5 + 1 + -3y Reorder the terms: -1 + 1 + Y + -2y = 5 + 1 + -3y Combine like terms: -1 + 1 = 0 0 + Y + -2y = 5 + 1 + -3y Y + -2y = 5 + 1 + -3y Combine like terms: 5 + 1 = 6 Y + -2y = 6 + -3y Add '2y' to each side of the equation. Y + -2y + 2y = 6 + -3y + 2y Combine like terms: -2y + 2y = 0 Y + 0 = 6 + -3y + 2y Y = 6 + -3y + 2y Combine like terms: -3y + 2y = -1y Y = 6 + -1y Simplifying Y = 6 + -1y
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