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Simplifying 0.125(y + 5) = -0.2(y + 0.375) Reorder the terms: 0.125(5 + y) = -0.2(y + 0.375) (5 * 0.125 + y * 0.125) = -0.2(y + 0.375) (0.625 + 0.125y) = -0.2(y + 0.375) Reorder the terms: 0.625 + 0.125y = -0.2(0.375 + y) 0.625 + 0.125y = (0.375 * -0.2 + y * -0.2) 0.625 + 0.125y = (-0.075 + -0.2y) Solving 0.625 + 0.125y = -0.075 + -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. 0.625 + 0.125y + 0.2y = -0.075 + -0.2y + 0.2y Combine like terms: 0.125y + 0.2y = 0.325y 0.625 + 0.325y = -0.075 + -0.2y + 0.2y Combine like terms: -0.2y + 0.2y = 0.0 0.625 + 0.325y = -0.075 + 0.0 0.625 + 0.325y = -0.075 Add '-0.625' to each side of the equation. 0.625 + -0.625 + 0.325y = -0.075 + -0.625 Combine like terms: 0.625 + -0.625 = 0.000 0.000 + 0.325y = -0.075 + -0.625 0.325y = -0.075 + -0.625 Combine like terms: -0.075 + -0.625 = -0.7 0.325y = -0.7 Divide each side by '0.325'. y = -2.153846154 Simplifying y = -2.153846154
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