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Simplifying -0.75(y + 2.666) = 0.125(y + 0.2) Reorder the terms: -0.75(2.666 + y) = 0.125(y + 0.2) (2.666 * -0.75 + y * -0.75) = 0.125(y + 0.2) (-1.9995 + -0.75y) = 0.125(y + 0.2) Reorder the terms: -1.9995 + -0.75y = 0.125(0.2 + y) -1.9995 + -0.75y = (0.2 * 0.125 + y * 0.125) -1.9995 + -0.75y = (0.025 + 0.125y) Solving -1.9995 + -0.75y = 0.025 + 0.125y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.125y' to each side of the equation. -1.9995 + -0.75y + -0.125y = 0.025 + 0.125y + -0.125y Combine like terms: -0.75y + -0.125y = -0.875y -1.9995 + -0.875y = 0.025 + 0.125y + -0.125y Combine like terms: 0.125y + -0.125y = 0.000 -1.9995 + -0.875y = 0.025 + 0.000 -1.9995 + -0.875y = 0.025 Add '1.9995' to each side of the equation. -1.9995 + 1.9995 + -0.875y = 0.025 + 1.9995 Combine like terms: -1.9995 + 1.9995 = 0.0000 0.0000 + -0.875y = 0.025 + 1.9995 -0.875y = 0.025 + 1.9995 Combine like terms: 0.025 + 1.9995 = 2.0245 -0.875y = 2.0245 Divide each side by '-0.875'. y = -2.313714286 Simplifying y = -2.313714286
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