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Simplifying -1(3y + 1) + -1(-2y + -8) = 2 Reorder the terms: -1(1 + 3y) + -1(-2y + -8) = 2 (1 * -1 + 3y * -1) + -1(-2y + -8) = 2 (-1 + -3y) + -1(-2y + -8) = 2 Reorder the terms: -1 + -3y + -1(-8 + -2y) = 2 -1 + -3y + (-8 * -1 + -2y * -1) = 2 -1 + -3y + (8 + 2y) = 2 Reorder the terms: -1 + 8 + -3y + 2y = 2 Combine like terms: -1 + 8 = 7 7 + -3y + 2y = 2 Combine like terms: -3y + 2y = -1y 7 + -1y = 2 Solving 7 + -1y = 2 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -1y = 2 + -7 Combine like terms: 7 + -7 = 0 0 + -1y = 2 + -7 -1y = 2 + -7 Combine like terms: 2 + -7 = -5 -1y = -5 Divide each side by '-1'. y = 5 Simplifying y = 5
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