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Simplifying 6y + -3 + 3(3y + 5) = -3(y + 1) Reorder the terms: 6y + -3 + 3(5 + 3y) = -3(y + 1) 6y + -3 + (5 * 3 + 3y * 3) = -3(y + 1) 6y + -3 + (15 + 9y) = -3(y + 1) Reorder the terms: -3 + 15 + 6y + 9y = -3(y + 1) Combine like terms: -3 + 15 = 12 12 + 6y + 9y = -3(y + 1) Combine like terms: 6y + 9y = 15y 12 + 15y = -3(y + 1) Reorder the terms: 12 + 15y = -3(1 + y) 12 + 15y = (1 * -3 + y * -3) 12 + 15y = (-3 + -3y) Solving 12 + 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. 12 + 15y + 3y = -3 + -3y + 3y Combine like terms: 15y + 3y = 18y 12 + 18y = -3 + -3y + 3y Combine like terms: -3y + 3y = 0 12 + 18y = -3 + 0 12 + 18y = -3 Add '-12' to each side of the equation. 12 + -12 + 18y = -3 + -12 Combine like terms: 12 + -12 = 0 0 + 18y = -3 + -12 18y = -3 + -12 Combine like terms: -3 + -12 = -15 18y = -15 Divide each side by '18'. y = -0.8333333333 Simplifying y = -0.8333333333
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