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Simplifying 3(4y + -7) + 2(3y + 9) = 0 Reorder the terms: 3(-7 + 4y) + 2(3y + 9) = 0 (-7 * 3 + 4y * 3) + 2(3y + 9) = 0 (-21 + 12y) + 2(3y + 9) = 0 Reorder the terms: -21 + 12y + 2(9 + 3y) = 0 -21 + 12y + (9 * 2 + 3y * 2) = 0 -21 + 12y + (18 + 6y) = 0 Reorder the terms: -21 + 18 + 12y + 6y = 0 Combine like terms: -21 + 18 = -3 -3 + 12y + 6y = 0 Combine like terms: 12y + 6y = 18y -3 + 18y = 0 Solving -3 + 18y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + 18y = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 18y = 0 + 3 18y = 0 + 3 Combine like terms: 0 + 3 = 3 18y = 3 Divide each side by '18'. y = 0.1666666667 Simplifying y = 0.1666666667
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