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Simplifying -1(y + 1) + 2(y + 5) + 2y = 0 Reorder the terms: -1(1 + y) + 2(y + 5) + 2y = 0 (1 * -1 + y * -1) + 2(y + 5) + 2y = 0 (-1 + -1y) + 2(y + 5) + 2y = 0 Reorder the terms: -1 + -1y + 2(5 + y) + 2y = 0 -1 + -1y + (5 * 2 + y * 2) + 2y = 0 -1 + -1y + (10 + 2y) + 2y = 0 Reorder the terms: -1 + 10 + -1y + 2y + 2y = 0 Combine like terms: -1 + 10 = 9 9 + -1y + 2y + 2y = 0 Combine like terms: -1y + 2y = 1y 9 + 1y + 2y = 0 Combine like terms: 1y + 2y = 3y 9 + 3y = 0 Solving 9 + 3y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 3y = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 3y = 0 + -9 3y = 0 + -9 Combine like terms: 0 + -9 = -9 3y = -9 Divide each side by '3'. y = -3 Simplifying y = -3
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