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Simplifying 3(8 + -1y) = 9(y + -4) (8 * 3 + -1y * 3) = 9(y + -4) (24 + -3y) = 9(y + -4) Reorder the terms: 24 + -3y = 9(-4 + y) 24 + -3y = (-4 * 9 + y * 9) 24 + -3y = (-36 + 9y) Solving 24 + -3y = -36 + 9y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-9y' to each side of the equation. 24 + -3y + -9y = -36 + 9y + -9y Combine like terms: -3y + -9y = -12y 24 + -12y = -36 + 9y + -9y Combine like terms: 9y + -9y = 0 24 + -12y = -36 + 0 24 + -12y = -36 Add '-24' to each side of the equation. 24 + -24 + -12y = -36 + -24 Combine like terms: 24 + -24 = 0 0 + -12y = -36 + -24 -12y = -36 + -24 Combine like terms: -36 + -24 = -60 -12y = -60 Divide each side by '-12'. y = 5 Simplifying y = 5
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