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Simplifying 9(3y + 6) + 3(y + 6) = 0 Reorder the terms: 9(6 + 3y) + 3(y + 6) = 0 (6 * 9 + 3y * 9) + 3(y + 6) = 0 (54 + 27y) + 3(y + 6) = 0 Reorder the terms: 54 + 27y + 3(6 + y) = 0 54 + 27y + (6 * 3 + y * 3) = 0 54 + 27y + (18 + 3y) = 0 Reorder the terms: 54 + 18 + 27y + 3y = 0 Combine like terms: 54 + 18 = 72 72 + 27y + 3y = 0 Combine like terms: 27y + 3y = 30y 72 + 30y = 0 Solving 72 + 30y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-72' to each side of the equation. 72 + -72 + 30y = 0 + -72 Combine like terms: 72 + -72 = 0 0 + 30y = 0 + -72 30y = 0 + -72 Combine like terms: 0 + -72 = -72 30y = -72 Divide each side by '30'. y = -2.4 Simplifying y = -2.4
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