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Simplifying 2(3y + -4) + -1(3y + 9) = 0 Reorder the terms: 2(-4 + 3y) + -1(3y + 9) = 0 (-4 * 2 + 3y * 2) + -1(3y + 9) = 0 (-8 + 6y) + -1(3y + 9) = 0 Reorder the terms: -8 + 6y + -1(9 + 3y) = 0 -8 + 6y + (9 * -1 + 3y * -1) = 0 -8 + 6y + (-9 + -3y) = 0 Reorder the terms: -8 + -9 + 6y + -3y = 0 Combine like terms: -8 + -9 = -17 -17 + 6y + -3y = 0 Combine like terms: 6y + -3y = 3y -17 + 3y = 0 Solving -17 + 3y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '17' to each side of the equation. -17 + 17 + 3y = 0 + 17 Combine like terms: -17 + 17 = 0 0 + 3y = 0 + 17 3y = 0 + 17 Combine like terms: 0 + 17 = 17 3y = 17 Divide each side by '3'. y = 5.666666667 Simplifying y = 5.666666667
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