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Simplifying 5(y + 3) + -3(2y + -3) = 24 Reorder the terms: 5(3 + y) + -3(2y + -3) = 24 (3 * 5 + y * 5) + -3(2y + -3) = 24 (15 + 5y) + -3(2y + -3) = 24 Reorder the terms: 15 + 5y + -3(-3 + 2y) = 24 15 + 5y + (-3 * -3 + 2y * -3) = 24 15 + 5y + (9 + -6y) = 24 Reorder the terms: 15 + 9 + 5y + -6y = 24 Combine like terms: 15 + 9 = 24 24 + 5y + -6y = 24 Combine like terms: 5y + -6y = -1y 24 + -1y = 24 Add '-24' to each side of the equation. 24 + -24 + -1y = 24 + -24 Combine like terms: 24 + -24 = 0 0 + -1y = 24 + -24 -1y = 24 + -24 Combine like terms: 24 + -24 = 0 -1y = 0 Solving -1y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Divide each side by '-1'. y = 0 Simplifying y = 0
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