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