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Simplifying -3(4y + -8) + -1y = -4(y + -4) Reorder the terms: -3(-8 + 4y) + -1y = -4(y + -4) (-8 * -3 + 4y * -3) + -1y = -4(y + -4) (24 + -12y) + -1y = -4(y + -4) Combine like terms: -12y + -1y = -13y 24 + -13y = -4(y + -4) Reorder the terms: 24 + -13y = -4(-4 + y) 24 + -13y = (-4 * -4 + y * -4) 24 + -13y = (16 + -4y) Solving 24 + -13y = 16 + -4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '4y' to each side of the equation. 24 + -13y + 4y = 16 + -4y + 4y Combine like terms: -13y + 4y = -9y 24 + -9y = 16 + -4y + 4y Combine like terms: -4y + 4y = 0 24 + -9y = 16 + 0 24 + -9y = 16 Add '-24' to each side of the equation. 24 + -24 + -9y = 16 + -24 Combine like terms: 24 + -24 = 0 0 + -9y = 16 + -24 -9y = 16 + -24 Combine like terms: 16 + -24 = -8 -9y = -8 Divide each side by '-9'. y = 0.8888888889 Simplifying y = 0.8888888889
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