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Simplifying -0.125(y + 0.4) = -0.75(y + 0.17) Reorder the terms: -0.125(0.4 + y) = -0.75(y + 0.17) (0.4 * -0.125 + y * -0.125) = -0.75(y + 0.17) (-0.05 + -0.125y) = -0.75(y + 0.17) Reorder the terms: -0.05 + -0.125y = -0.75(0.17 + y) -0.05 + -0.125y = (0.17 * -0.75 + y * -0.75) -0.05 + -0.125y = (-0.1275 + -0.75y) Solving -0.05 + -0.125y = -0.1275 + -0.75y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '0.75y' to each side of the equation. -0.05 + -0.125y + 0.75y = -0.1275 + -0.75y + 0.75y Combine like terms: -0.125y + 0.75y = 0.625y -0.05 + 0.625y = -0.1275 + -0.75y + 0.75y Combine like terms: -0.75y + 0.75y = 0.00 -0.05 + 0.625y = -0.1275 + 0.00 -0.05 + 0.625y = -0.1275 Add '0.05' to each side of the equation. -0.05 + 0.05 + 0.625y = -0.1275 + 0.05 Combine like terms: -0.05 + 0.05 = 0.00 0.00 + 0.625y = -0.1275 + 0.05 0.625y = -0.1275 + 0.05 Combine like terms: -0.1275 + 0.05 = -0.0775 0.625y = -0.0775 Divide each side by '0.625'. y = -0.124 Simplifying y = -0.124
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