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Simplifying -3(5y + -8) + 2(3y + 9) = 0 Reorder the terms: -3(-8 + 5y) + 2(3y + 9) = 0 (-8 * -3 + 5y * -3) + 2(3y + 9) = 0 (24 + -15y) + 2(3y + 9) = 0 Reorder the terms: 24 + -15y + 2(9 + 3y) = 0 24 + -15y + (9 * 2 + 3y * 2) = 0 24 + -15y + (18 + 6y) = 0 Reorder the terms: 24 + 18 + -15y + 6y = 0 Combine like terms: 24 + 18 = 42 42 + -15y + 6y = 0 Combine like terms: -15y + 6y = -9y 42 + -9y = 0 Solving 42 + -9y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-42' to each side of the equation. 42 + -42 + -9y = 0 + -42 Combine like terms: 42 + -42 = 0 0 + -9y = 0 + -42 -9y = 0 + -42 Combine like terms: 0 + -42 = -42 -9y = -42 Divide each side by '-9'. y = 4.666666667 Simplifying y = 4.666666667
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