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Simplifying -4(4y + -2) + 7y = 5(y + 4) Reorder the terms: -4(-2 + 4y) + 7y = 5(y + 4) (-2 * -4 + 4y * -4) + 7y = 5(y + 4) (8 + -16y) + 7y = 5(y + 4) Combine like terms: -16y + 7y = -9y 8 + -9y = 5(y + 4) Reorder the terms: 8 + -9y = 5(4 + y) 8 + -9y = (4 * 5 + y * 5) 8 + -9y = (20 + 5y) Solving 8 + -9y = 20 + 5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-5y' to each side of the equation. 8 + -9y + -5y = 20 + 5y + -5y Combine like terms: -9y + -5y = -14y 8 + -14y = 20 + 5y + -5y Combine like terms: 5y + -5y = 0 8 + -14y = 20 + 0 8 + -14y = 20 Add '-8' to each side of the equation. 8 + -8 + -14y = 20 + -8 Combine like terms: 8 + -8 = 0 0 + -14y = 20 + -8 -14y = 20 + -8 Combine like terms: 20 + -8 = 12 -14y = 12 Divide each side by '-14'. y = -0.8571428571 Simplifying y = -0.8571428571
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