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Simplifying -3(5y + -9) + 2(3y + 9) = 0 Reorder the terms: -3(-9 + 5y) + 2(3y + 9) = 0 (-9 * -3 + 5y * -3) + 2(3y + 9) = 0 (27 + -15y) + 2(3y + 9) = 0 Reorder the terms: 27 + -15y + 2(9 + 3y) = 0 27 + -15y + (9 * 2 + 3y * 2) = 0 27 + -15y + (18 + 6y) = 0 Reorder the terms: 27 + 18 + -15y + 6y = 0 Combine like terms: 27 + 18 = 45 45 + -15y + 6y = 0 Combine like terms: -15y + 6y = -9y 45 + -9y = 0 Solving 45 + -9y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-45' to each side of the equation. 45 + -45 + -9y = 0 + -45 Combine like terms: 45 + -45 = 0 0 + -9y = 0 + -45 -9y = 0 + -45 Combine like terms: 0 + -45 = -45 -9y = -45 Divide each side by '-9'. y = 5 Simplifying y = 5
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