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Simplifying 2(3y + 9) + -3(y + 3) = 0 Reorder the terms: 2(9 + 3y) + -3(y + 3) = 0 (9 * 2 + 3y * 2) + -3(y + 3) = 0 (18 + 6y) + -3(y + 3) = 0 Reorder the terms: 18 + 6y + -3(3 + y) = 0 18 + 6y + (3 * -3 + y * -3) = 0 18 + 6y + (-9 + -3y) = 0 Reorder the terms: 18 + -9 + 6y + -3y = 0 Combine like terms: 18 + -9 = 9 9 + 6y + -3y = 0 Combine like terms: 6y + -3y = 3y 9 + 3y = 0 Solving 9 + 3y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 3y = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 3y = 0 + -9 3y = 0 + -9 Combine like terms: 0 + -9 = -9 3y = -9 Divide each side by '3'. y = -3 Simplifying y = -3
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