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Simplifying 0.125(5y + 64) = 0.25(20 + 2y) Reorder the terms: 0.125(64 + 5y) = 0.25(20 + 2y) (64 * 0.125 + 5y * 0.125) = 0.25(20 + 2y) (8 + 0.625y) = 0.25(20 + 2y) 8 + 0.625y = (20 * 0.25 + 2y * 0.25) 8 + 0.625y = (5 + 0.5y) Solving 8 + 0.625y = 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. 8 + 0.625y + -0.5y = 5 + 0.5y + -0.5y Combine like terms: 0.625y + -0.5y = 0.125y 8 + 0.125y = 5 + 0.5y + -0.5y Combine like terms: 0.5y + -0.5y = 0.0 8 + 0.125y = 5 + 0.0 8 + 0.125y = 5 Add '-8' to each side of the equation. 8 + -8 + 0.125y = 5 + -8 Combine like terms: 8 + -8 = 0 0 + 0.125y = 5 + -8 0.125y = 5 + -8 Combine like terms: 5 + -8 = -3 0.125y = -3 Divide each side by '0.125'. y = -24 Simplifying y = -24
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