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Simplifying -3(4y + -9) + 2(3y + 8) = 0 Reorder the terms: -3(-9 + 4y) + 2(3y + 8) = 0 (-9 * -3 + 4y * -3) + 2(3y + 8) = 0 (27 + -12y) + 2(3y + 8) = 0 Reorder the terms: 27 + -12y + 2(8 + 3y) = 0 27 + -12y + (8 * 2 + 3y * 2) = 0 27 + -12y + (16 + 6y) = 0 Reorder the terms: 27 + 16 + -12y + 6y = 0 Combine like terms: 27 + 16 = 43 43 + -12y + 6y = 0 Combine like terms: -12y + 6y = -6y 43 + -6y = 0 Solving 43 + -6y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-43' to each side of the equation. 43 + -43 + -6y = 0 + -43 Combine like terms: 43 + -43 = 0 0 + -6y = 0 + -43 -6y = 0 + -43 Combine like terms: 0 + -43 = -43 -6y = -43 Divide each side by '-6'. y = 7.166666667 Simplifying y = 7.166666667
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