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Simplifying 0.75y + -1(y + 0.4) = 0.025(y + -2) Reorder the terms: 0.75y + -1(0.4 + y) = 0.025(y + -2) 0.75y + (0.4 * -1 + y * -1) = 0.025(y + -2) 0.75y + (-0.4 + -1y) = 0.025(y + -2) Reorder the terms: -0.4 + 0.75y + -1y = 0.025(y + -2) Combine like terms: 0.75y + -1y = -0.25y -0.4 + -0.25y = 0.025(y + -2) Reorder the terms: -0.4 + -0.25y = 0.025(-2 + y) -0.4 + -0.25y = (-2 * 0.025 + y * 0.025) -0.4 + -0.25y = (-0.05 + 0.025y) Solving -0.4 + -0.25y = -0.05 + 0.025y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.025y' to each side of the equation. -0.4 + -0.25y + -0.025y = -0.05 + 0.025y + -0.025y Combine like terms: -0.25y + -0.025y = -0.275y -0.4 + -0.275y = -0.05 + 0.025y + -0.025y Combine like terms: 0.025y + -0.025y = 0.000 -0.4 + -0.275y = -0.05 + 0.000 -0.4 + -0.275y = -0.05 Add '0.4' to each side of the equation. -0.4 + 0.4 + -0.275y = -0.05 + 0.4 Combine like terms: -0.4 + 0.4 = 0.0 0.0 + -0.275y = -0.05 + 0.4 -0.275y = -0.05 + 0.4 Combine like terms: -0.05 + 0.4 = 0.35 -0.275y = 0.35 Divide each side by '-0.275'. y = -1.272727273 Simplifying y = -1.272727273
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