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Simplifying 9y + -9 + 3(2y + 1) = -3(y + 3) Reorder the terms: 9y + -9 + 3(1 + 2y) = -3(y + 3) 9y + -9 + (1 * 3 + 2y * 3) = -3(y + 3) 9y + -9 + (3 + 6y) = -3(y + 3) Reorder the terms: -9 + 3 + 9y + 6y = -3(y + 3) Combine like terms: -9 + 3 = -6 -6 + 9y + 6y = -3(y + 3) Combine like terms: 9y + 6y = 15y -6 + 15y = -3(y + 3) Reorder the terms: -6 + 15y = -3(3 + y) -6 + 15y = (3 * -3 + y * -3) -6 + 15y = (-9 + -3y) Solving -6 + 15y = -9 + -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. -6 + 15y + 3y = -9 + -3y + 3y Combine like terms: 15y + 3y = 18y -6 + 18y = -9 + -3y + 3y Combine like terms: -3y + 3y = 0 -6 + 18y = -9 + 0 -6 + 18y = -9 Add '6' to each side of the equation. -6 + 6 + 18y = -9 + 6 Combine like terms: -6 + 6 = 0 0 + 18y = -9 + 6 18y = -9 + 6 Combine like terms: -9 + 6 = -3 18y = -3 Divide each side by '18'. y = -0.1666666667 Simplifying y = -0.1666666667
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