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Simplifying -5(3y + -9) + 3(2y + 9) = 0 Reorder the terms: -5(-9 + 3y) + 3(2y + 9) = 0 (-9 * -5 + 3y * -5) + 3(2y + 9) = 0 (45 + -15y) + 3(2y + 9) = 0 Reorder the terms: 45 + -15y + 3(9 + 2y) = 0 45 + -15y + (9 * 3 + 2y * 3) = 0 45 + -15y + (27 + 6y) = 0 Reorder the terms: 45 + 27 + -15y + 6y = 0 Combine like terms: 45 + 27 = 72 72 + -15y + 6y = 0 Combine like terms: -15y + 6y = -9y 72 + -9y = 0 Solving 72 + -9y = 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 + -9y = 0 + -72 Combine like terms: 72 + -72 = 0 0 + -9y = 0 + -72 -9y = 0 + -72 Combine like terms: 0 + -72 = -72 -9y = -72 Divide each side by '-9'. y = 8 Simplifying y = 8
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