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Simplifying -2(4y + -4) + -1y = 3(y + -2) Reorder the terms: -2(-4 + 4y) + -1y = 3(y + -2) (-4 * -2 + 4y * -2) + -1y = 3(y + -2) (8 + -8y) + -1y = 3(y + -2) Combine like terms: -8y + -1y = -9y 8 + -9y = 3(y + -2) Reorder the terms: 8 + -9y = 3(-2 + y) 8 + -9y = (-2 * 3 + y * 3) 8 + -9y = (-6 + 3y) Solving 8 + -9y = -6 + 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. 8 + -9y + -3y = -6 + 3y + -3y Combine like terms: -9y + -3y = -12y 8 + -12y = -6 + 3y + -3y Combine like terms: 3y + -3y = 0 8 + -12y = -6 + 0 8 + -12y = -6 Add '-8' to each side of the equation. 8 + -8 + -12y = -6 + -8 Combine like terms: 8 + -8 = 0 0 + -12y = -6 + -8 -12y = -6 + -8 Combine like terms: -6 + -8 = -14 -12y = -14 Divide each side by '-12'. y = 1.166666667 Simplifying y = 1.166666667
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