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Simplifying 2(2y + -1) = -8(0.5 + -1y) Reorder the terms: 2(-1 + 2y) = -8(0.5 + -1y) (-1 * 2 + 2y * 2) = -8(0.5 + -1y) (-2 + 4y) = -8(0.5 + -1y) -2 + 4y = (0.5 * -8 + -1y * -8) -2 + 4y = (-4 + 8y) Solving -2 + 4y = -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. -2 + 4y + -8y = -4 + 8y + -8y Combine like terms: 4y + -8y = -4y -2 + -4y = -4 + 8y + -8y Combine like terms: 8y + -8y = 0 -2 + -4y = -4 + 0 -2 + -4y = -4 Add '2' to each side of the equation. -2 + 2 + -4y = -4 + 2 Combine like terms: -2 + 2 = 0 0 + -4y = -4 + 2 -4y = -4 + 2 Combine like terms: -4 + 2 = -2 -4y = -2 Divide each side by '-4'. y = 0.5 Simplifying y = 0.5
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