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Simplifying 3(5y + 9) + -2(y + 9) = 0 Reorder the terms: 3(9 + 5y) + -2(y + 9) = 0 (9 * 3 + 5y * 3) + -2(y + 9) = 0 (27 + 15y) + -2(y + 9) = 0 Reorder the terms: 27 + 15y + -2(9 + y) = 0 27 + 15y + (9 * -2 + y * -2) = 0 27 + 15y + (-18 + -2y) = 0 Reorder the terms: 27 + -18 + 15y + -2y = 0 Combine like terms: 27 + -18 = 9 9 + 15y + -2y = 0 Combine like terms: 15y + -2y = 13y 9 + 13y = 0 Solving 9 + 13y = 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 + 13y = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 13y = 0 + -9 13y = 0 + -9 Combine like terms: 0 + -9 = -9 13y = -9 Divide each side by '13'. y = -0.6923076923 Simplifying y = -0.6923076923
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