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Simplifying 2(y + 4) = 3(y + -1) Reorder the terms: 2(4 + y) = 3(y + -1) (4 * 2 + y * 2) = 3(y + -1) (8 + 2y) = 3(y + -1) Reorder the terms: 8 + 2y = 3(-1 + y) 8 + 2y = (-1 * 3 + y * 3) 8 + 2y = (-3 + 3y) Solving 8 + 2y = -3 + 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 = -3 + 3y + -3y Combine like terms: 2y + -3y = -1y 8 + -1y = -3 + 3y + -3y Combine like terms: 3y + -3y = 0 8 + -1y = -3 + 0 8 + -1y = -3 Add '-8' to each side of the equation. 8 + -8 + -1y = -3 + -8 Combine like terms: 8 + -8 = 0 0 + -1y = -3 + -8 -1y = -3 + -8 Combine like terms: -3 + -8 = -11 -1y = -11 Divide each side by '-1'. y = 11 Simplifying y = 11
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