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Simplifying 0.5(y + -2) + 2 = 0.75(2y + -4) Reorder the terms: 0.5(-2 + y) + 2 = 0.75(2y + -4) (-2 * 0.5 + y * 0.5) + 2 = 0.75(2y + -4) (-1 + 0.5y) + 2 = 0.75(2y + -4) Reorder the terms: -1 + 2 + 0.5y = 0.75(2y + -4) Combine like terms: -1 + 2 = 1 1 + 0.5y = 0.75(2y + -4) Reorder the terms: 1 + 0.5y = 0.75(-4 + 2y) 1 + 0.5y = (-4 * 0.75 + 2y * 0.75) 1 + 0.5y = (-3 + 1.5y) Solving 1 + 0.5y = -3 + 1.5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-1.5y' to each side of the equation. 1 + 0.5y + -1.5y = -3 + 1.5y + -1.5y Combine like terms: 0.5y + -1.5y = -1y 1 + -1y = -3 + 1.5y + -1.5y Combine like terms: 1.5y + -1.5y = 0.0 1 + -1y = -3 + 0.0 1 + -1y = -3 Add '-1' to each side of the equation. 1 + -1 + -1y = -3 + -1 Combine like terms: 1 + -1 = 0 0 + -1y = -3 + -1 -1y = -3 + -1 Combine like terms: -3 + -1 = -4 -1y = -4 Divide each side by '-1'. y = 4 Simplifying y = 4
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