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Simplifying 5(y + 3) = -2(y + -4) Reorder the terms: 5(3 + y) = -2(y + -4) (3 * 5 + y * 5) = -2(y + -4) (15 + 5y) = -2(y + -4) Reorder the terms: 15 + 5y = -2(-4 + y) 15 + 5y = (-4 * -2 + y * -2) 15 + 5y = (8 + -2y) Solving 15 + 5y = 8 + -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 = 8 + -2y + 2y Combine like terms: 5y + 2y = 7y 15 + 7y = 8 + -2y + 2y Combine like terms: -2y + 2y = 0 15 + 7y = 8 + 0 15 + 7y = 8 Add '-15' to each side of the equation. 15 + -15 + 7y = 8 + -15 Combine like terms: 15 + -15 = 0 0 + 7y = 8 + -15 7y = 8 + -15 Combine like terms: 8 + -15 = -7 7y = -7 Divide each side by '7'. y = -1 Simplifying y = -1
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