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Simplifying 9y + 3 + -3(-2y + -4) = 3(y + -1) Reorder the terms: 9y + 3 + -3(-4 + -2y) = 3(y + -1) 9y + 3 + (-4 * -3 + -2y * -3) = 3(y + -1) 9y + 3 + (12 + 6y) = 3(y + -1) Reorder the terms: 3 + 12 + 9y + 6y = 3(y + -1) Combine like terms: 3 + 12 = 15 15 + 9y + 6y = 3(y + -1) Combine like terms: 9y + 6y = 15y 15 + 15y = 3(y + -1) Reorder the terms: 15 + 15y = 3(-1 + y) 15 + 15y = (-1 * 3 + y * 3) 15 + 15y = (-3 + 3y) Solving 15 + 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. 15 + 15y + -3y = -3 + 3y + -3y Combine like terms: 15y + -3y = 12y 15 + 12y = -3 + 3y + -3y Combine like terms: 3y + -3y = 0 15 + 12y = -3 + 0 15 + 12y = -3 Add '-15' to each side of the equation. 15 + -15 + 12y = -3 + -15 Combine like terms: 15 + -15 = 0 0 + 12y = -3 + -15 12y = -3 + -15 Combine like terms: -3 + -15 = -18 12y = -18 Divide each side by '12'. y = -1.5 Simplifying y = -1.5
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