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Simplifying -7(2y + -1) + 5y = 5(y + 1) Reorder the terms: -7(-1 + 2y) + 5y = 5(y + 1) (-1 * -7 + 2y * -7) + 5y = 5(y + 1) (7 + -14y) + 5y = 5(y + 1) Combine like terms: -14y + 5y = -9y 7 + -9y = 5(y + 1) Reorder the terms: 7 + -9y = 5(1 + y) 7 + -9y = (1 * 5 + y * 5) 7 + -9y = (5 + 5y) Solving 7 + -9y = 5 + 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. 7 + -9y + -5y = 5 + 5y + -5y Combine like terms: -9y + -5y = -14y 7 + -14y = 5 + 5y + -5y Combine like terms: 5y + -5y = 0 7 + -14y = 5 + 0 7 + -14y = 5 Add '-7' to each side of the equation. 7 + -7 + -14y = 5 + -7 Combine like terms: 7 + -7 = 0 0 + -14y = 5 + -7 -14y = 5 + -7 Combine like terms: 5 + -7 = -2 -14y = -2 Divide each side by '-14'. y = 0.1428571429 Simplifying y = 0.1428571429
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