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Simplifying 7(y + -4) + -8 = -5(-6y + 8) + -9y Reorder the terms: 7(-4 + y) + -8 = -5(-6y + 8) + -9y (-4 * 7 + y * 7) + -8 = -5(-6y + 8) + -9y (-28 + 7y) + -8 = -5(-6y + 8) + -9y Reorder the terms: -28 + -8 + 7y = -5(-6y + 8) + -9y Combine like terms: -28 + -8 = -36 -36 + 7y = -5(-6y + 8) + -9y Reorder the terms: -36 + 7y = -5(8 + -6y) + -9y -36 + 7y = (8 * -5 + -6y * -5) + -9y -36 + 7y = (-40 + 30y) + -9y Combine like terms: 30y + -9y = 21y -36 + 7y = -40 + 21y Solving -36 + 7y = -40 + 21y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-21y' to each side of the equation. -36 + 7y + -21y = -40 + 21y + -21y Combine like terms: 7y + -21y = -14y -36 + -14y = -40 + 21y + -21y Combine like terms: 21y + -21y = 0 -36 + -14y = -40 + 0 -36 + -14y = -40 Add '36' to each side of the equation. -36 + 36 + -14y = -40 + 36 Combine like terms: -36 + 36 = 0 0 + -14y = -40 + 36 -14y = -40 + 36 Combine like terms: -40 + 36 = -4 -14y = -4 Divide each side by '-14'. y = 0.2857142857 Simplifying y = 0.2857142857
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