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Simplifying 2(4y + 2) + -4(y + -1) = 0 Reorder the terms: 2(2 + 4y) + -4(y + -1) = 0 (2 * 2 + 4y * 2) + -4(y + -1) = 0 (4 + 8y) + -4(y + -1) = 0 Reorder the terms: 4 + 8y + -4(-1 + y) = 0 4 + 8y + (-1 * -4 + y * -4) = 0 4 + 8y + (4 + -4y) = 0 Reorder the terms: 4 + 4 + 8y + -4y = 0 Combine like terms: 4 + 4 = 8 8 + 8y + -4y = 0 Combine like terms: 8y + -4y = 4y 8 + 4y = 0 Solving 8 + 4y = 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 + 4y = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 4y = 0 + -8 4y = 0 + -8 Combine like terms: 0 + -8 = -8 4y = -8 Divide each side by '4'. y = -2 Simplifying y = -2
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