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Simplifying -1(2y + 6) + 3(2y + 6) + -2y = 0 Reorder the terms: -1(6 + 2y) + 3(2y + 6) + -2y = 0 (6 * -1 + 2y * -1) + 3(2y + 6) + -2y = 0 (-6 + -2y) + 3(2y + 6) + -2y = 0 Reorder the terms: -6 + -2y + 3(6 + 2y) + -2y = 0 -6 + -2y + (6 * 3 + 2y * 3) + -2y = 0 -6 + -2y + (18 + 6y) + -2y = 0 Reorder the terms: -6 + 18 + -2y + 6y + -2y = 0 Combine like terms: -6 + 18 = 12 12 + -2y + 6y + -2y = 0 Combine like terms: -2y + 6y = 4y 12 + 4y + -2y = 0 Combine like terms: 4y + -2y = 2y 12 + 2y = 0 Solving 12 + 2y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 2y = 0 + -12 Combine like terms: 12 + -12 = 0 0 + 2y = 0 + -12 2y = 0 + -12 Combine like terms: 0 + -12 = -12 2y = -12 Divide each side by '2'. y = -6 Simplifying y = -6
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