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Simplifying 3(y + 5) = 2(y + -8) Reorder the terms: 3(5 + y) = 2(y + -8) (5 * 3 + y * 3) = 2(y + -8) (15 + 3y) = 2(y + -8) Reorder the terms: 15 + 3y = 2(-8 + y) 15 + 3y = (-8 * 2 + y * 2) 15 + 3y = (-16 + 2y) Solving 15 + 3y = -16 + 2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-2y' to each side of the equation. 15 + 3y + -2y = -16 + 2y + -2y Combine like terms: 3y + -2y = 1y 15 + 1y = -16 + 2y + -2y Combine like terms: 2y + -2y = 0 15 + 1y = -16 + 0 15 + 1y = -16 Add '-15' to each side of the equation. 15 + -15 + 1y = -16 + -15 Combine like terms: 15 + -15 = 0 0 + 1y = -16 + -15 1y = -16 + -15 Combine like terms: -16 + -15 = -31 1y = -31 Divide each side by '1'. y = -31 Simplifying y = -31
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