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Simplifying 5y + 8(y + -5) + 9 = 0 Reorder the terms: 5y + 8(-5 + y) + 9 = 0 5y + (-5 * 8 + y * 8) + 9 = 0 5y + (-40 + 8y) + 9 = 0 Reorder the terms: -40 + 9 + 5y + 8y = 0 Combine like terms: -40 + 9 = -31 -31 + 5y + 8y = 0 Combine like terms: 5y + 8y = 13y -31 + 13y = 0 Solving -31 + 13y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '31' to each side of the equation. -31 + 31 + 13y = 0 + 31 Combine like terms: -31 + 31 = 0 0 + 13y = 0 + 31 13y = 0 + 31 Combine like terms: 0 + 31 = 31 13y = 31 Divide each side by '13'. y = 2.384615385 Simplifying y = 2.384615385
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