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Simplifying Y + -1(9y + -8) = [5 + -2y + -3(2y + -3)] + 29 Reorder the terms: Y + -1(-8 + 9y) = [5 + -2y + -3(2y + -3)] + 29 Y + (-8 * -1 + 9y * -1) = [5 + -2y + -3(2y + -3)] + 29 Y + (8 + -9y) = [5 + -2y + -3(2y + -3)] + 29 Reorder the terms: 8 + Y + -9y = [5 + -2y + -3(2y + -3)] + 29 Reorder the terms: 8 + Y + -9y = [5 + -2y + -3(-3 + 2y)] + 29 8 + Y + -9y = [5 + -2y + (-3 * -3 + 2y * -3)] + 29 8 + Y + -9y = [5 + -2y + (9 + -6y)] + 29 Reorder the terms: 8 + Y + -9y = [5 + 9 + -2y + -6y] + 29 Combine like terms: 5 + 9 = 14 8 + Y + -9y = [14 + -2y + -6y] + 29 Combine like terms: -2y + -6y = -8y 8 + Y + -9y = [14 + -8y] + 29 Remove brackets around [14 + -8y] 8 + Y + -9y = 14 + -8y + 29 Reorder the terms: 8 + Y + -9y = 14 + 29 + -8y Combine like terms: 14 + 29 = 43 8 + Y + -9y = 43 + -8y Solving 8 + Y + -9y = 43 + -8y Solving for variable 'Y'. Move all terms containing Y to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + Y + -8 + -9y = 43 + -8 + -8y Reorder the terms: 8 + -8 + Y + -9y = 43 + -8 + -8y Combine like terms: 8 + -8 = 0 0 + Y + -9y = 43 + -8 + -8y Y + -9y = 43 + -8 + -8y Combine like terms: 43 + -8 = 35 Y + -9y = 35 + -8y Add '9y' to each side of the equation. Y + -9y + 9y = 35 + -8y + 9y Combine like terms: -9y + 9y = 0 Y + 0 = 35 + -8y + 9y Y = 35 + -8y + 9y Combine like terms: -8y + 9y = 1y Y = 35 + 1y Simplifying Y = 35 + 1y
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