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Simplifying -3(4y + -2) + -1y = -4(y + -5) Reorder the terms: -3(-2 + 4y) + -1y = -4(y + -5) (-2 * -3 + 4y * -3) + -1y = -4(y + -5) (6 + -12y) + -1y = -4(y + -5) Combine like terms: -12y + -1y = -13y 6 + -13y = -4(y + -5) Reorder the terms: 6 + -13y = -4(-5 + y) 6 + -13y = (-5 * -4 + y * -4) 6 + -13y = (20 + -4y) Solving 6 + -13y = 20 + -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. 6 + -13y + 4y = 20 + -4y + 4y Combine like terms: -13y + 4y = -9y 6 + -9y = 20 + -4y + 4y Combine like terms: -4y + 4y = 0 6 + -9y = 20 + 0 6 + -9y = 20 Add '-6' to each side of the equation. 6 + -6 + -9y = 20 + -6 Combine like terms: 6 + -6 = 0 0 + -9y = 20 + -6 -9y = 20 + -6 Combine like terms: 20 + -6 = 14 -9y = 14 Divide each side by '-9'. y = -1.555555556 Simplifying y = -1.555555556
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