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Simplifying 5(5y + -7) + -1(8y + 9) = 0 Reorder the terms: 5(-7 + 5y) + -1(8y + 9) = 0 (-7 * 5 + 5y * 5) + -1(8y + 9) = 0 (-35 + 25y) + -1(8y + 9) = 0 Reorder the terms: -35 + 25y + -1(9 + 8y) = 0 -35 + 25y + (9 * -1 + 8y * -1) = 0 -35 + 25y + (-9 + -8y) = 0 Reorder the terms: -35 + -9 + 25y + -8y = 0 Combine like terms: -35 + -9 = -44 -44 + 25y + -8y = 0 Combine like terms: 25y + -8y = 17y -44 + 17y = 0 Solving -44 + 17y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '44' to each side of the equation. -44 + 44 + 17y = 0 + 44 Combine like terms: -44 + 44 = 0 0 + 17y = 0 + 44 17y = 0 + 44 Combine like terms: 0 + 44 = 44 17y = 44 Divide each side by '17'. y = 2.588235294 Simplifying y = 2.588235294
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