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Simplifying 6y + 4 + -5(-3y + -1) = 3(y + -1) Reorder the terms: 6y + 4 + -5(-1 + -3y) = 3(y + -1) 6y + 4 + (-1 * -5 + -3y * -5) = 3(y + -1) 6y + 4 + (5 + 15y) = 3(y + -1) Reorder the terms: 4 + 5 + 6y + 15y = 3(y + -1) Combine like terms: 4 + 5 = 9 9 + 6y + 15y = 3(y + -1) Combine like terms: 6y + 15y = 21y 9 + 21y = 3(y + -1) Reorder the terms: 9 + 21y = 3(-1 + y) 9 + 21y = (-1 * 3 + y * 3) 9 + 21y = (-3 + 3y) Solving 9 + 21y = -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 + 21y + -3y = -3 + 3y + -3y Combine like terms: 21y + -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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