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Simplifying 2(y + 5) = 3(y + -8) Reorder the terms: 2(5 + y) = 3(y + -8) (5 * 2 + y * 2) = 3(y + -8) (10 + 2y) = 3(y + -8) Reorder the terms: 10 + 2y = 3(-8 + y) 10 + 2y = (-8 * 3 + y * 3) 10 + 2y = (-24 + 3y) Solving 10 + 2y = -24 + 3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-3y' to each side of the equation. 10 + 2y + -3y = -24 + 3y + -3y Combine like terms: 2y + -3y = -1y 10 + -1y = -24 + 3y + -3y Combine like terms: 3y + -3y = 0 10 + -1y = -24 + 0 10 + -1y = -24 Add '-10' to each side of the equation. 10 + -10 + -1y = -24 + -10 Combine like terms: 10 + -10 = 0 0 + -1y = -24 + -10 -1y = -24 + -10 Combine like terms: -24 + -10 = -34 -1y = -34 Divide each side by '-1'. y = 34 Simplifying y = 34
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