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Simplifying 3(8y + -9) + -1(9y + 3) = 0 Reorder the terms: 3(-9 + 8y) + -1(9y + 3) = 0 (-9 * 3 + 8y * 3) + -1(9y + 3) = 0 (-27 + 24y) + -1(9y + 3) = 0 Reorder the terms: -27 + 24y + -1(3 + 9y) = 0 -27 + 24y + (3 * -1 + 9y * -1) = 0 -27 + 24y + (-3 + -9y) = 0 Reorder the terms: -27 + -3 + 24y + -9y = 0 Combine like terms: -27 + -3 = -30 -30 + 24y + -9y = 0 Combine like terms: 24y + -9y = 15y -30 + 15y = 0 Solving -30 + 15y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '30' to each side of the equation. -30 + 30 + 15y = 0 + 30 Combine like terms: -30 + 30 = 0 0 + 15y = 0 + 30 15y = 0 + 30 Combine like terms: 0 + 30 = 30 15y = 30 Divide each side by '15'. y = 2 Simplifying y = 2
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