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Simplifying 12y + -3(y + -3) = 6y + 8 + -1(y + 2) Reorder the terms: 12y + -3(-3 + y) = 6y + 8 + -1(y + 2) 12y + (-3 * -3 + y * -3) = 6y + 8 + -1(y + 2) 12y + (9 + -3y) = 6y + 8 + -1(y + 2) Reorder the terms: 9 + 12y + -3y = 6y + 8 + -1(y + 2) Combine like terms: 12y + -3y = 9y 9 + 9y = 6y + 8 + -1(y + 2) Reorder the terms: 9 + 9y = 6y + 8 + -1(2 + y) 9 + 9y = 6y + 8 + (2 * -1 + y * -1) 9 + 9y = 6y + 8 + (-2 + -1y) Reorder the terms: 9 + 9y = 8 + -2 + 6y + -1y Combine like terms: 8 + -2 = 6 9 + 9y = 6 + 6y + -1y Combine like terms: 6y + -1y = 5y 9 + 9y = 6 + 5y Solving 9 + 9y = 6 + 5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-5y' to each side of the equation. 9 + 9y + -5y = 6 + 5y + -5y Combine like terms: 9y + -5y = 4y 9 + 4y = 6 + 5y + -5y Combine like terms: 5y + -5y = 0 9 + 4y = 6 + 0 9 + 4y = 6 Add '-9' to each side of the equation. 9 + -9 + 4y = 6 + -9 Combine like terms: 9 + -9 = 0 0 + 4y = 6 + -9 4y = 6 + -9 Combine like terms: 6 + -9 = -3 4y = -3 Divide each side by '4'. y = -0.75 Simplifying y = -0.75
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