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Simplifying 5(y + -8) + -5 = -6(4y + 8) + -7y Reorder the terms: 5(-8 + y) + -5 = -6(4y + 8) + -7y (-8 * 5 + y * 5) + -5 = -6(4y + 8) + -7y (-40 + 5y) + -5 = -6(4y + 8) + -7y Reorder the terms: -40 + -5 + 5y = -6(4y + 8) + -7y Combine like terms: -40 + -5 = -45 -45 + 5y = -6(4y + 8) + -7y Reorder the terms: -45 + 5y = -6(8 + 4y) + -7y -45 + 5y = (8 * -6 + 4y * -6) + -7y -45 + 5y = (-48 + -24y) + -7y Combine like terms: -24y + -7y = -31y -45 + 5y = -48 + -31y Solving -45 + 5y = -48 + -31y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '31y' to each side of the equation. -45 + 5y + 31y = -48 + -31y + 31y Combine like terms: 5y + 31y = 36y -45 + 36y = -48 + -31y + 31y Combine like terms: -31y + 31y = 0 -45 + 36y = -48 + 0 -45 + 36y = -48 Add '45' to each side of the equation. -45 + 45 + 36y = -48 + 45 Combine like terms: -45 + 45 = 0 0 + 36y = -48 + 45 36y = -48 + 45 Combine like terms: -48 + 45 = -3 36y = -3 Divide each side by '36'. y = -0.08333333333 Simplifying y = -0.08333333333
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