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Simplifying -2(y + 4) + 4(2y + 5) = 0 Reorder the terms: -2(4 + y) + 4(2y + 5) = 0 (4 * -2 + y * -2) + 4(2y + 5) = 0 (-8 + -2y) + 4(2y + 5) = 0 Reorder the terms: -8 + -2y + 4(5 + 2y) = 0 -8 + -2y + (5 * 4 + 2y * 4) = 0 -8 + -2y + (20 + 8y) = 0 Reorder the terms: -8 + 20 + -2y + 8y = 0 Combine like terms: -8 + 20 = 12 12 + -2y + 8y = 0 Combine like terms: -2y + 8y = 6y 12 + 6y = 0 Solving 12 + 6y = 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 + 6y = 0 + -12 Combine like terms: 12 + -12 = 0 0 + 6y = 0 + -12 6y = 0 + -12 Combine like terms: 0 + -12 = -12 6y = -12 Divide each side by '6'. y = -2 Simplifying y = -2
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