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Simplifying 0.125(5y + 64) = 0.1(20 + 2y) Reorder the terms: 0.125(64 + 5y) = 0.1(20 + 2y) (64 * 0.125 + 5y * 0.125) = 0.1(20 + 2y) (8 + 0.625y) = 0.1(20 + 2y) 8 + 0.625y = (20 * 0.1 + 2y * 0.1) 8 + 0.625y = (2 + 0.2y) Solving 8 + 0.625y = 2 + 0.2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.2y' to each side of the equation. 8 + 0.625y + -0.2y = 2 + 0.2y + -0.2y Combine like terms: 0.625y + -0.2y = 0.425y 8 + 0.425y = 2 + 0.2y + -0.2y Combine like terms: 0.2y + -0.2y = 0.0 8 + 0.425y = 2 + 0.0 8 + 0.425y = 2 Add '-8' to each side of the equation. 8 + -8 + 0.425y = 2 + -8 Combine like terms: 8 + -8 = 0 0 + 0.425y = 2 + -8 0.425y = 2 + -8 Combine like terms: 2 + -8 = -6 0.425y = -6 Divide each side by '0.425'. y = -14.11764706 Simplifying y = -14.11764706
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