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Simplifying 9y + -7 + 2(3y + 5) = -3(y + 1) Reorder the terms: 9y + -7 + 2(5 + 3y) = -3(y + 1) 9y + -7 + (5 * 2 + 3y * 2) = -3(y + 1) 9y + -7 + (10 + 6y) = -3(y + 1) Reorder the terms: -7 + 10 + 9y + 6y = -3(y + 1) Combine like terms: -7 + 10 = 3 3 + 9y + 6y = -3(y + 1) Combine like terms: 9y + 6y = 15y 3 + 15y = -3(y + 1) Reorder the terms: 3 + 15y = -3(1 + y) 3 + 15y = (1 * -3 + y * -3) 3 + 15y = (-3 + -3y) Solving 3 + 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. 3 + 15y + 3y = -3 + -3y + 3y Combine like terms: 15y + 3y = 18y 3 + 18y = -3 + -3y + 3y Combine like terms: -3y + 3y = 0 3 + 18y = -3 + 0 3 + 18y = -3 Add '-3' to each side of the equation. 3 + -3 + 18y = -3 + -3 Combine like terms: 3 + -3 = 0 0 + 18y = -3 + -3 18y = -3 + -3 Combine like terms: -3 + -3 = -6 18y = -6 Divide each side by '18'. y = -0.3333333333 Simplifying y = -0.3333333333
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