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Simplifying 2(y + 7) = 3(y + -8) Reorder the terms: 2(7 + y) = 3(y + -8) (7 * 2 + y * 2) = 3(y + -8) (14 + 2y) = 3(y + -8) Reorder the terms: 14 + 2y = 3(-8 + y) 14 + 2y = (-8 * 3 + y * 3) 14 + 2y = (-24 + 3y) Solving 14 + 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. 14 + 2y + -3y = -24 + 3y + -3y Combine like terms: 2y + -3y = -1y 14 + -1y = -24 + 3y + -3y Combine like terms: 3y + -3y = 0 14 + -1y = -24 + 0 14 + -1y = -24 Add '-14' to each side of the equation. 14 + -14 + -1y = -24 + -14 Combine like terms: 14 + -14 = 0 0 + -1y = -24 + -14 -1y = -24 + -14 Combine like terms: -24 + -14 = -38 -1y = -38 Divide each side by '-1'. y = 38 Simplifying y = 38
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