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Simplifying 2(y + 4) = 3(y + -8) Reorder the terms: 2(4 + y) = 3(y + -8) (4 * 2 + y * 2) = 3(y + -8) (8 + 2y) = 3(y + -8) Reorder the terms: 8 + 2y = 3(-8 + y) 8 + 2y = (-8 * 3 + y * 3) 8 + 2y = (-24 + 3y) Solving 8 + 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. 8 + 2y + -3y = -24 + 3y + -3y Combine like terms: 2y + -3y = -1y 8 + -1y = -24 + 3y + -3y Combine like terms: 3y + -3y = 0 8 + -1y = -24 + 0 8 + -1y = -24 Add '-8' to each side of the equation. 8 + -8 + -1y = -24 + -8 Combine like terms: 8 + -8 = 0 0 + -1y = -24 + -8 -1y = -24 + -8 Combine like terms: -24 + -8 = -32 -1y = -32 Divide each side by '-1'. y = 32 Simplifying y = 32
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