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Simplifying -0.2(y + -0.4) = -0.5(y + 0.5) Reorder the terms: -0.2(-0.4 + y) = -0.5(y + 0.5) (-0.4 * -0.2 + y * -0.2) = -0.5(y + 0.5) (0.08 + -0.2y) = -0.5(y + 0.5) Reorder the terms: 0.08 + -0.2y = -0.5(0.5 + y) 0.08 + -0.2y = (0.5 * -0.5 + y * -0.5) 0.08 + -0.2y = (-0.25 + -0.5y) Solving 0.08 + -0.2y = -0.25 + -0.5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '0.5y' to each side of the equation. 0.08 + -0.2y + 0.5y = -0.25 + -0.5y + 0.5y Combine like terms: -0.2y + 0.5y = 0.3y 0.08 + 0.3y = -0.25 + -0.5y + 0.5y Combine like terms: -0.5y + 0.5y = 0.0 0.08 + 0.3y = -0.25 + 0.0 0.08 + 0.3y = -0.25 Add '-0.08' to each side of the equation. 0.08 + -0.08 + 0.3y = -0.25 + -0.08 Combine like terms: 0.08 + -0.08 = 0.00 0.00 + 0.3y = -0.25 + -0.08 0.3y = -0.25 + -0.08 Combine like terms: -0.25 + -0.08 = -0.33 0.3y = -0.33 Divide each side by '0.3'. y = -1.1 Simplifying y = -1.1
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