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Simplifying 9y + -3 + 2(3y + 6) = -3(y + 1) Reorder the terms: 9y + -3 + 2(6 + 3y) = -3(y + 1) 9y + -3 + (6 * 2 + 3y * 2) = -3(y + 1) 9y + -3 + (12 + 6y) = -3(y + 1) Reorder the terms: -3 + 12 + 9y + 6y = -3(y + 1) Combine like terms: -3 + 12 = 9 9 + 9y + 6y = -3(y + 1) Combine like terms: 9y + 6y = 15y 9 + 15y = -3(y + 1) Reorder the terms: 9 + 15y = -3(1 + y) 9 + 15y = (1 * -3 + y * -3) 9 + 15y = (-3 + -3y) Solving 9 + 15y = -3 + -3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '3y' to each side of the equation. 9 + 15y + 3y = -3 + -3y + 3y Combine like terms: 15y + 3y = 18y 9 + 18y = -3 + -3y + 3y Combine like terms: -3y + 3y = 0 9 + 18y = -3 + 0 9 + 18y = -3 Add '-9' to each side of the equation. 9 + -9 + 18y = -3 + -9 Combine like terms: 9 + -9 = 0 0 + 18y = -3 + -9 18y = -3 + -9 Combine like terms: -3 + -9 = -12 18y = -12 Divide each side by '18'. y = -0.6666666667 Simplifying y = -0.6666666667
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