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Simplifying 3(y + 7) + 2(3y + -5) = 9(2y + -1) Reorder the terms: 3(7 + y) + 2(3y + -5) = 9(2y + -1) (7 * 3 + y * 3) + 2(3y + -5) = 9(2y + -1) (21 + 3y) + 2(3y + -5) = 9(2y + -1) Reorder the terms: 21 + 3y + 2(-5 + 3y) = 9(2y + -1) 21 + 3y + (-5 * 2 + 3y * 2) = 9(2y + -1) 21 + 3y + (-10 + 6y) = 9(2y + -1) Reorder the terms: 21 + -10 + 3y + 6y = 9(2y + -1) Combine like terms: 21 + -10 = 11 11 + 3y + 6y = 9(2y + -1) Combine like terms: 3y + 6y = 9y 11 + 9y = 9(2y + -1) Reorder the terms: 11 + 9y = 9(-1 + 2y) 11 + 9y = (-1 * 9 + 2y * 9) 11 + 9y = (-9 + 18y) Solving 11 + 9y = -9 + 18y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-18y' to each side of the equation. 11 + 9y + -18y = -9 + 18y + -18y Combine like terms: 9y + -18y = -9y 11 + -9y = -9 + 18y + -18y Combine like terms: 18y + -18y = 0 11 + -9y = -9 + 0 11 + -9y = -9 Add '-11' to each side of the equation. 11 + -11 + -9y = -9 + -11 Combine like terms: 11 + -11 = 0 0 + -9y = -9 + -11 -9y = -9 + -11 Combine like terms: -9 + -11 = -20 -9y = -20 Divide each side by '-9'. y = 2.222222222 Simplifying y = 2.222222222
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