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Simplifying 0.5(y + 4) = 0.6(y + -2) Reorder the terms: 0.5(4 + y) = 0.6(y + -2) (4 * 0.5 + y * 0.5) = 0.6(y + -2) (2 + 0.5y) = 0.6(y + -2) Reorder the terms: 2 + 0.5y = 0.6(-2 + y) 2 + 0.5y = (-2 * 0.6 + y * 0.6) 2 + 0.5y = (-1.2 + 0.6y) Solving 2 + 0.5y = -1.2 + 0.6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.6y' to each side of the equation. 2 + 0.5y + -0.6y = -1.2 + 0.6y + -0.6y Combine like terms: 0.5y + -0.6y = -0.1y 2 + -0.1y = -1.2 + 0.6y + -0.6y Combine like terms: 0.6y + -0.6y = 0.0 2 + -0.1y = -1.2 + 0.0 2 + -0.1y = -1.2 Add '-2' to each side of the equation. 2 + -2 + -0.1y = -1.2 + -2 Combine like terms: 2 + -2 = 0 0 + -0.1y = -1.2 + -2 -0.1y = -1.2 + -2 Combine like terms: -1.2 + -2 = -3.2 -0.1y = -3.2 Divide each side by '-0.1'. y = 32 Simplifying y = 32
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