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Simplifying -1(2y + 4) + 3(2y + 4) + -2y = 0 Reorder the terms: -1(4 + 2y) + 3(2y + 4) + -2y = 0 (4 * -1 + 2y * -1) + 3(2y + 4) + -2y = 0 (-4 + -2y) + 3(2y + 4) + -2y = 0 Reorder the terms: -4 + -2y + 3(4 + 2y) + -2y = 0 -4 + -2y + (4 * 3 + 2y * 3) + -2y = 0 -4 + -2y + (12 + 6y) + -2y = 0 Reorder the terms: -4 + 12 + -2y + 6y + -2y = 0 Combine like terms: -4 + 12 = 8 8 + -2y + 6y + -2y = 0 Combine like terms: -2y + 6y = 4y 8 + 4y + -2y = 0 Combine like terms: 4y + -2y = 2y 8 + 2y = 0 Solving 8 + 2y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 2y = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 2y = 0 + -8 2y = 0 + -8 Combine like terms: 0 + -8 = -8 2y = -8 Divide each side by '2'. y = -4 Simplifying y = -4
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