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Simplifying 5(3 + y) = 4(3 + -1y) (3 * 5 + y * 5) = 4(3 + -1y) (15 + 5y) = 4(3 + -1y) 15 + 5y = (3 * 4 + -1y * 4) 15 + 5y = (12 + -4y) Solving 15 + 5y = 12 + -4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '4y' to each side of the equation. 15 + 5y + 4y = 12 + -4y + 4y Combine like terms: 5y + 4y = 9y 15 + 9y = 12 + -4y + 4y Combine like terms: -4y + 4y = 0 15 + 9y = 12 + 0 15 + 9y = 12 Add '-15' to each side of the equation. 15 + -15 + 9y = 12 + -15 Combine like terms: 15 + -15 = 0 0 + 9y = 12 + -15 9y = 12 + -15 Combine like terms: 12 + -15 = -3 9y = -3 Divide each side by '9'. y = -0.3333333333 Simplifying y = -0.3333333333
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