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Simplifying -4y + -1(2y + 5) = 1(7 + 8y) Reorder the terms: -4y + -1(5 + 2y) = 1(7 + 8y) -4y + (5 * -1 + 2y * -1) = 1(7 + 8y) -4y + (-5 + -2y) = 1(7 + 8y) Reorder the terms: -5 + -4y + -2y = 1(7 + 8y) Combine like terms: -4y + -2y = -6y -5 + -6y = 1(7 + 8y) -5 + -6y = (7 * 1 + 8y * 1) -5 + -6y = (7 + 8y) Solving -5 + -6y = 7 + 8y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-8y' to each side of the equation. -5 + -6y + -8y = 7 + 8y + -8y Combine like terms: -6y + -8y = -14y -5 + -14y = 7 + 8y + -8y Combine like terms: 8y + -8y = 0 -5 + -14y = 7 + 0 -5 + -14y = 7 Add '5' to each side of the equation. -5 + 5 + -14y = 7 + 5 Combine like terms: -5 + 5 = 0 0 + -14y = 7 + 5 -14y = 7 + 5 Combine like terms: 7 + 5 = 12 -14y = 12 Divide each side by '-14'. y = -0.8571428571 Simplifying y = -0.8571428571
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