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Simplifying 5(y + 3) = 2(32 + -1y) Reorder the terms: 5(3 + y) = 2(32 + -1y) (3 * 5 + y * 5) = 2(32 + -1y) (15 + 5y) = 2(32 + -1y) 15 + 5y = (32 * 2 + -1y * 2) 15 + 5y = (64 + -2y) Solving 15 + 5y = 64 + -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 + 5y + 2y = 64 + -2y + 2y Combine like terms: 5y + 2y = 7y 15 + 7y = 64 + -2y + 2y Combine like terms: -2y + 2y = 0 15 + 7y = 64 + 0 15 + 7y = 64 Add '-15' to each side of the equation. 15 + -15 + 7y = 64 + -15 Combine like terms: 15 + -15 = 0 0 + 7y = 64 + -15 7y = 64 + -15 Combine like terms: 64 + -15 = 49 7y = 49 Divide each side by '7'. y = 7 Simplifying y = 7
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