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Simplifying 12.5(5y + 64) = 0.25(20 + 2y) Reorder the terms: 12.5(64 + 5y) = 0.25(20 + 2y) (64 * 12.5 + 5y * 12.5) = 0.25(20 + 2y) (800 + 62.5y) = 0.25(20 + 2y) 800 + 62.5y = (20 * 0.25 + 2y * 0.25) 800 + 62.5y = (5 + 0.5y) Solving 800 + 62.5y = 5 + 0.5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.5y' to each side of the equation. 800 + 62.5y + -0.5y = 5 + 0.5y + -0.5y Combine like terms: 62.5y + -0.5y = 62y 800 + 62y = 5 + 0.5y + -0.5y Combine like terms: 0.5y + -0.5y = 0.0 800 + 62y = 5 + 0.0 800 + 62y = 5 Add '-800' to each side of the equation. 800 + -800 + 62y = 5 + -800 Combine like terms: 800 + -800 = 0 0 + 62y = 5 + -800 62y = 5 + -800 Combine like terms: 5 + -800 = -795 62y = -795 Divide each side by '62'. y = -12.82258065 Simplifying y = -12.82258065
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