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Simplifying 8(4y + -5) + -1(5y + 6) = 0 Reorder the terms: 8(-5 + 4y) + -1(5y + 6) = 0 (-5 * 8 + 4y * 8) + -1(5y + 6) = 0 (-40 + 32y) + -1(5y + 6) = 0 Reorder the terms: -40 + 32y + -1(6 + 5y) = 0 -40 + 32y + (6 * -1 + 5y * -1) = 0 -40 + 32y + (-6 + -5y) = 0 Reorder the terms: -40 + -6 + 32y + -5y = 0 Combine like terms: -40 + -6 = -46 -46 + 32y + -5y = 0 Combine like terms: 32y + -5y = 27y -46 + 27y = 0 Solving -46 + 27y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '46' to each side of the equation. -46 + 46 + 27y = 0 + 46 Combine like terms: -46 + 46 = 0 0 + 27y = 0 + 46 27y = 0 + 46 Combine like terms: 0 + 46 = 46 27y = 46 Divide each side by '27'. y = 1.703703704 Simplifying y = 1.703703704
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