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Simplifying -4(3y + -2) + -1y = -4(y + -2) Reorder the terms: -4(-2 + 3y) + -1y = -4(y + -2) (-2 * -4 + 3y * -4) + -1y = -4(y + -2) (8 + -12y) + -1y = -4(y + -2) Combine like terms: -12y + -1y = -13y 8 + -13y = -4(y + -2) Reorder the terms: 8 + -13y = -4(-2 + y) 8 + -13y = (-2 * -4 + y * -4) 8 + -13y = (8 + -4y) Add '-8' to each side of the equation. 8 + -8 + -13y = 8 + -8 + -4y Combine like terms: 8 + -8 = 0 0 + -13y = 8 + -8 + -4y -13y = 8 + -8 + -4y Combine like terms: 8 + -8 = 0 -13y = 0 + -4y -13y = -4y Solving -13y = -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. -13y + 4y = -4y + 4y Combine like terms: -13y + 4y = -9y -9y = -4y + 4y Combine like terms: -4y + 4y = 0 -9y = 0 Divide each side by '-9'. y = 0 Simplifying y = 0
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