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Simplifying 3(4y + -9) + -1(3y + 2) = 0 Reorder the terms: 3(-9 + 4y) + -1(3y + 2) = 0 (-9 * 3 + 4y * 3) + -1(3y + 2) = 0 (-27 + 12y) + -1(3y + 2) = 0 Reorder the terms: -27 + 12y + -1(2 + 3y) = 0 -27 + 12y + (2 * -1 + 3y * -1) = 0 -27 + 12y + (-2 + -3y) = 0 Reorder the terms: -27 + -2 + 12y + -3y = 0 Combine like terms: -27 + -2 = -29 -29 + 12y + -3y = 0 Combine like terms: 12y + -3y = 9y -29 + 9y = 0 Solving -29 + 9y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '29' to each side of the equation. -29 + 29 + 9y = 0 + 29 Combine like terms: -29 + 29 = 0 0 + 9y = 0 + 29 9y = 0 + 29 Combine like terms: 0 + 29 = 29 9y = 29 Divide each side by '9'. y = 3.222222222 Simplifying y = 3.222222222
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