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Simplifying 3(8 + -1y) = 2(5 + 2y) (8 * 3 + -1y * 3) = 2(5 + 2y) (24 + -3y) = 2(5 + 2y) 24 + -3y = (5 * 2 + 2y * 2) 24 + -3y = (10 + 4y) Solving 24 + -3y = 10 + 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. 24 + -3y + -4y = 10 + 4y + -4y Combine like terms: -3y + -4y = -7y 24 + -7y = 10 + 4y + -4y Combine like terms: 4y + -4y = 0 24 + -7y = 10 + 0 24 + -7y = 10 Add '-24' to each side of the equation. 24 + -24 + -7y = 10 + -24 Combine like terms: 24 + -24 = 0 0 + -7y = 10 + -24 -7y = 10 + -24 Combine like terms: 10 + -24 = -14 -7y = -14 Divide each side by '-7'. y = 2 Simplifying y = 2
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