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Simplifying 4(2y + -1) = 8(0.5 + -1y) Reorder the terms: 4(-1 + 2y) = 8(0.5 + -1y) (-1 * 4 + 2y * 4) = 8(0.5 + -1y) (-4 + 8y) = 8(0.5 + -1y) -4 + 8y = (0.5 * 8 + -1y * 8) -4 + 8y = (4 + -8y) Solving -4 + 8y = 4 + -8y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '8y' to each side of the equation. -4 + 8y + 8y = 4 + -8y + 8y Combine like terms: 8y + 8y = 16y -4 + 16y = 4 + -8y + 8y Combine like terms: -8y + 8y = 0 -4 + 16y = 4 + 0 -4 + 16y = 4 Add '4' to each side of the equation. -4 + 4 + 16y = 4 + 4 Combine like terms: -4 + 4 = 0 0 + 16y = 4 + 4 16y = 4 + 4 Combine like terms: 4 + 4 = 8 16y = 8 Divide each side by '16'. y = 0.5 Simplifying y = 0.5
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