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Simplifying 0.5(8 + -6y) = 2 + -2y (8 * 0.5 + -6y * 0.5) = 2 + -2y (4 + -3y) = 2 + -2y Solving 4 + -3y = 2 + -2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '2y' to each side of the equation. 4 + -3y + 2y = 2 + -2y + 2y Combine like terms: -3y + 2y = -1y 4 + -1y = 2 + -2y + 2y Combine like terms: -2y + 2y = 0 4 + -1y = 2 + 0 4 + -1y = 2 Add '-4' to each side of the equation. 4 + -4 + -1y = 2 + -4 Combine like terms: 4 + -4 = 0 0 + -1y = 2 + -4 -1y = 2 + -4 Combine like terms: 2 + -4 = -2 -1y = -2 Divide each side by '-1'. y = 2 Simplifying y = 2
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