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Simplifying 3(5 + -1y) = 8(3 + -1y) (5 * 3 + -1y * 3) = 8(3 + -1y) (15 + -3y) = 8(3 + -1y) 15 + -3y = (3 * 8 + -1y * 8) 15 + -3y = (24 + -8y) Solving 15 + -3y = 24 + -8y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '8y' to each side of the equation. 15 + -3y + 8y = 24 + -8y + 8y Combine like terms: -3y + 8y = 5y 15 + 5y = 24 + -8y + 8y Combine like terms: -8y + 8y = 0 15 + 5y = 24 + 0 15 + 5y = 24 Add '-15' to each side of the equation. 15 + -15 + 5y = 24 + -15 Combine like terms: 15 + -15 = 0 0 + 5y = 24 + -15 5y = 24 + -15 Combine like terms: 24 + -15 = 9 5y = 9 Divide each side by '5'. y = 1.8 Simplifying y = 1.8
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