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Simplifying -3(3y + -8) + 2(2y + 9) = 0 Reorder the terms: -3(-8 + 3y) + 2(2y + 9) = 0 (-8 * -3 + 3y * -3) + 2(2y + 9) = 0 (24 + -9y) + 2(2y + 9) = 0 Reorder the terms: 24 + -9y + 2(9 + 2y) = 0 24 + -9y + (9 * 2 + 2y * 2) = 0 24 + -9y + (18 + 4y) = 0 Reorder the terms: 24 + 18 + -9y + 4y = 0 Combine like terms: 24 + 18 = 42 42 + -9y + 4y = 0 Combine like terms: -9y + 4y = -5y 42 + -5y = 0 Solving 42 + -5y = 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 + -5y = 0 + -42 Combine like terms: 42 + -42 = 0 0 + -5y = 0 + -42 -5y = 0 + -42 Combine like terms: 0 + -42 = -42 -5y = -42 Divide each side by '-5'. y = 8.4 Simplifying y = 8.4
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