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Simplifying 3(3y + -9) + -1(6y + 7) = 0 Reorder the terms: 3(-9 + 3y) + -1(6y + 7) = 0 (-9 * 3 + 3y * 3) + -1(6y + 7) = 0 (-27 + 9y) + -1(6y + 7) = 0 Reorder the terms: -27 + 9y + -1(7 + 6y) = 0 -27 + 9y + (7 * -1 + 6y * -1) = 0 -27 + 9y + (-7 + -6y) = 0 Reorder the terms: -27 + -7 + 9y + -6y = 0 Combine like terms: -27 + -7 = -34 -34 + 9y + -6y = 0 Combine like terms: 9y + -6y = 3y -34 + 3y = 0 Solving -34 + 3y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '34' to each side of the equation. -34 + 34 + 3y = 0 + 34 Combine like terms: -34 + 34 = 0 0 + 3y = 0 + 34 3y = 0 + 34 Combine like terms: 0 + 34 = 34 3y = 34 Divide each side by '3'. y = 11.33333333 Simplifying y = 11.33333333
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