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Simplifying 2(4y + 4) + -4(y + -8) = 0 Reorder the terms: 2(4 + 4y) + -4(y + -8) = 0 (4 * 2 + 4y * 2) + -4(y + -8) = 0 (8 + 8y) + -4(y + -8) = 0 Reorder the terms: 8 + 8y + -4(-8 + y) = 0 8 + 8y + (-8 * -4 + y * -4) = 0 8 + 8y + (32 + -4y) = 0 Reorder the terms: 8 + 32 + 8y + -4y = 0 Combine like terms: 8 + 32 = 40 40 + 8y + -4y = 0 Combine like terms: 8y + -4y = 4y 40 + 4y = 0 Solving 40 + 4y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-40' to each side of the equation. 40 + -40 + 4y = 0 + -40 Combine like terms: 40 + -40 = 0 0 + 4y = 0 + -40 4y = 0 + -40 Combine like terms: 0 + -40 = -40 4y = -40 Divide each side by '4'. y = -10 Simplifying y = -10
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