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Simplifying 4(15 + 9) = 12(5y + 3) Combine like terms: 15 + 9 = 24 4(24) = 12(5y + 3) Multiply 4 * 24 96 = 12(5y + 3) Reorder the terms: 96 = 12(3 + 5y) 96 = (3 * 12 + 5y * 12) 96 = (36 + 60y) Solving 96 = 36 + 60y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-60y' to each side of the equation. 96 + -60y = 36 + 60y + -60y Combine like terms: 60y + -60y = 0 96 + -60y = 36 + 0 96 + -60y = 36 Add '-96' to each side of the equation. 96 + -96 + -60y = 36 + -96 Combine like terms: 96 + -96 = 0 0 + -60y = 36 + -96 -60y = 36 + -96 Combine like terms: 36 + -96 = -60 -60y = -60 Divide each side by '-60'. y = 1 Simplifying y = 1
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