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Simplifying 7(y + -6) + -8 = -5(-6y + 8) + -8y Reorder the terms: 7(-6 + y) + -8 = -5(-6y + 8) + -8y (-6 * 7 + y * 7) + -8 = -5(-6y + 8) + -8y (-42 + 7y) + -8 = -5(-6y + 8) + -8y Reorder the terms: -42 + -8 + 7y = -5(-6y + 8) + -8y Combine like terms: -42 + -8 = -50 -50 + 7y = -5(-6y + 8) + -8y Reorder the terms: -50 + 7y = -5(8 + -6y) + -8y -50 + 7y = (8 * -5 + -6y * -5) + -8y -50 + 7y = (-40 + 30y) + -8y Combine like terms: 30y + -8y = 22y -50 + 7y = -40 + 22y Solving -50 + 7y = -40 + 22y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-22y' to each side of the equation. -50 + 7y + -22y = -40 + 22y + -22y Combine like terms: 7y + -22y = -15y -50 + -15y = -40 + 22y + -22y Combine like terms: 22y + -22y = 0 -50 + -15y = -40 + 0 -50 + -15y = -40 Add '50' to each side of the equation. -50 + 50 + -15y = -40 + 50 Combine like terms: -50 + 50 = 0 0 + -15y = -40 + 50 -15y = -40 + 50 Combine like terms: -40 + 50 = 10 -15y = 10 Divide each side by '-15'. y = -0.6666666667 Simplifying y = -0.6666666667
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