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Simplifying -1(2y + 7) + 3(2y + 6) + -2y = 0 Reorder the terms: -1(7 + 2y) + 3(2y + 6) + -2y = 0 (7 * -1 + 2y * -1) + 3(2y + 6) + -2y = 0 (-7 + -2y) + 3(2y + 6) + -2y = 0 Reorder the terms: -7 + -2y + 3(6 + 2y) + -2y = 0 -7 + -2y + (6 * 3 + 2y * 3) + -2y = 0 -7 + -2y + (18 + 6y) + -2y = 0 Reorder the terms: -7 + 18 + -2y + 6y + -2y = 0 Combine like terms: -7 + 18 = 11 11 + -2y + 6y + -2y = 0 Combine like terms: -2y + 6y = 4y 11 + 4y + -2y = 0 Combine like terms: 4y + -2y = 2y 11 + 2y = 0 Solving 11 + 2y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + 2y = 0 + -11 Combine like terms: 11 + -11 = 0 0 + 2y = 0 + -11 2y = 0 + -11 Combine like terms: 0 + -11 = -11 2y = -11 Divide each side by '2'. y = -5.5 Simplifying y = -5.5
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