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Simplifying -5(3y + -4) + -1y = -2(y + -4) Reorder the terms: -5(-4 + 3y) + -1y = -2(y + -4) (-4 * -5 + 3y * -5) + -1y = -2(y + -4) (20 + -15y) + -1y = -2(y + -4) Combine like terms: -15y + -1y = -16y 20 + -16y = -2(y + -4) Reorder the terms: 20 + -16y = -2(-4 + y) 20 + -16y = (-4 * -2 + y * -2) 20 + -16y = (8 + -2y) Solving 20 + -16y = 8 + -2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '2y' to each side of the equation. 20 + -16y + 2y = 8 + -2y + 2y Combine like terms: -16y + 2y = -14y 20 + -14y = 8 + -2y + 2y Combine like terms: -2y + 2y = 0 20 + -14y = 8 + 0 20 + -14y = 8 Add '-20' to each side of the equation. 20 + -20 + -14y = 8 + -20 Combine like terms: 20 + -20 = 0 0 + -14y = 8 + -20 -14y = 8 + -20 Combine like terms: 8 + -20 = -12 -14y = -12 Divide each side by '-14'. y = 0.8571428571 Simplifying y = 0.8571428571
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