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Simplifying -1(2y + 6) + 3(2y + 5) + -2y = 0 Reorder the terms: -1(6 + 2y) + 3(2y + 5) + -2y = 0 (6 * -1 + 2y * -1) + 3(2y + 5) + -2y = 0 (-6 + -2y) + 3(2y + 5) + -2y = 0 Reorder the terms: -6 + -2y + 3(5 + 2y) + -2y = 0 -6 + -2y + (5 * 3 + 2y * 3) + -2y = 0 -6 + -2y + (15 + 6y) + -2y = 0 Reorder the terms: -6 + 15 + -2y + 6y + -2y = 0 Combine like terms: -6 + 15 = 9 9 + -2y + 6y + -2y = 0 Combine like terms: -2y + 6y = 4y 9 + 4y + -2y = 0 Combine like terms: 4y + -2y = 2y 9 + 2y = 0 Solving 9 + 2y = 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 + 2y = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 2y = 0 + -9 2y = 0 + -9 Combine like terms: 0 + -9 = -9 2y = -9 Divide each side by '2'. y = -4.5 Simplifying y = -4.5
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