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Simplifying -6y + -5(-7y + 8) = 8 + -8(-6 + -1y) Reorder the terms: -6y + -5(8 + -7y) = 8 + -8(-6 + -1y) -6y + (8 * -5 + -7y * -5) = 8 + -8(-6 + -1y) -6y + (-40 + 35y) = 8 + -8(-6 + -1y) Reorder the terms: -40 + -6y + 35y = 8 + -8(-6 + -1y) Combine like terms: -6y + 35y = 29y -40 + 29y = 8 + -8(-6 + -1y) -40 + 29y = 8 + (-6 * -8 + -1y * -8) -40 + 29y = 8 + (48 + 8y) Combine like terms: 8 + 48 = 56 -40 + 29y = 56 + 8y Solving -40 + 29y = 56 + 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. -40 + 29y + -8y = 56 + 8y + -8y Combine like terms: 29y + -8y = 21y -40 + 21y = 56 + 8y + -8y Combine like terms: 8y + -8y = 0 -40 + 21y = 56 + 0 -40 + 21y = 56 Add '40' to each side of the equation. -40 + 40 + 21y = 56 + 40 Combine like terms: -40 + 40 = 0 0 + 21y = 56 + 40 21y = 56 + 40 Combine like terms: 56 + 40 = 96 21y = 96 Divide each side by '21'. y = 4.571428571 Simplifying y = 4.571428571
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