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Simplifying 0.5(4 + -8y) = 5 + -3y (4 * 0.5 + -8y * 0.5) = 5 + -3y (2 + -4y) = 5 + -3y Solving 2 + -4y = 5 + -3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '3y' to each side of the equation. 2 + -4y + 3y = 5 + -3y + 3y Combine like terms: -4y + 3y = -1y 2 + -1y = 5 + -3y + 3y Combine like terms: -3y + 3y = 0 2 + -1y = 5 + 0 2 + -1y = 5 Add '-2' to each side of the equation. 2 + -2 + -1y = 5 + -2 Combine like terms: 2 + -2 = 0 0 + -1y = 5 + -2 -1y = 5 + -2 Combine like terms: 5 + -2 = 3 -1y = 3 Divide each side by '-1'. y = -3 Simplifying y = -3
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