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Simplifying -3(3y + -9) + 2(2y + 10) = 0 Reorder the terms: -3(-9 + 3y) + 2(2y + 10) = 0 (-9 * -3 + 3y * -3) + 2(2y + 10) = 0 (27 + -9y) + 2(2y + 10) = 0 Reorder the terms: 27 + -9y + 2(10 + 2y) = 0 27 + -9y + (10 * 2 + 2y * 2) = 0 27 + -9y + (20 + 4y) = 0 Reorder the terms: 27 + 20 + -9y + 4y = 0 Combine like terms: 27 + 20 = 47 47 + -9y + 4y = 0 Combine like terms: -9y + 4y = -5y 47 + -5y = 0 Solving 47 + -5y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-47' to each side of the equation. 47 + -47 + -5y = 0 + -47 Combine like terms: 47 + -47 = 0 0 + -5y = 0 + -47 -5y = 0 + -47 Combine like terms: 0 + -47 = -47 -5y = -47 Divide each side by '-5'. y = 9.4 Simplifying y = 9.4
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