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