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Simplifying 3(5 + -1y) = 2(y + 5) (5 * 3 + -1y * 3) = 2(y + 5) (15 + -3y) = 2(y + 5) Reorder the terms: 15 + -3y = 2(5 + y) 15 + -3y = (5 * 2 + y * 2) 15 + -3y = (10 + 2y) Solving 15 + -3y = 10 + 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 + -3y + -2y = 10 + 2y + -2y Combine like terms: -3y + -2y = -5y 15 + -5y = 10 + 2y + -2y Combine like terms: 2y + -2y = 0 15 + -5y = 10 + 0 15 + -5y = 10 Add '-15' to each side of the equation. 15 + -15 + -5y = 10 + -15 Combine like terms: 15 + -15 = 0 0 + -5y = 10 + -15 -5y = 10 + -15 Combine like terms: 10 + -15 = -5 -5y = -5 Divide each side by '-5'. y = 1 Simplifying y = 1
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