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Simplifying 4(y + 3) + 2(2y + 6) = 0 Reorder the terms: 4(3 + y) + 2(2y + 6) = 0 (3 * 4 + y * 4) + 2(2y + 6) = 0 (12 + 4y) + 2(2y + 6) = 0 Reorder the terms: 12 + 4y + 2(6 + 2y) = 0 12 + 4y + (6 * 2 + 2y * 2) = 0 12 + 4y + (12 + 4y) = 0 Reorder the terms: 12 + 12 + 4y + 4y = 0 Combine like terms: 12 + 12 = 24 24 + 4y + 4y = 0 Combine like terms: 4y + 4y = 8y 24 + 8y = 0 Solving 24 + 8y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + 8y = 0 + -24 Combine like terms: 24 + -24 = 0 0 + 8y = 0 + -24 8y = 0 + -24 Combine like terms: 0 + -24 = -24 8y = -24 Divide each side by '8'. y = -3 Simplifying y = -3
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