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Simplifying 5(7y + -9) + -1(8y + 4) = 0 Reorder the terms: 5(-9 + 7y) + -1(8y + 4) = 0 (-9 * 5 + 7y * 5) + -1(8y + 4) = 0 (-45 + 35y) + -1(8y + 4) = 0 Reorder the terms: -45 + 35y + -1(4 + 8y) = 0 -45 + 35y + (4 * -1 + 8y * -1) = 0 -45 + 35y + (-4 + -8y) = 0 Reorder the terms: -45 + -4 + 35y + -8y = 0 Combine like terms: -45 + -4 = -49 -49 + 35y + -8y = 0 Combine like terms: 35y + -8y = 27y -49 + 27y = 0 Solving -49 + 27y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '49' to each side of the equation. -49 + 49 + 27y = 0 + 49 Combine like terms: -49 + 49 = 0 0 + 27y = 0 + 49 27y = 0 + 49 Combine like terms: 0 + 49 = 49 27y = 49 Divide each side by '27'. y = 1.814814815 Simplifying y = 1.814814815
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