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Simplifying 5(5y + -9) + -1(2y + 8) = 0 Reorder the terms: 5(-9 + 5y) + -1(2y + 8) = 0 (-9 * 5 + 5y * 5) + -1(2y + 8) = 0 (-45 + 25y) + -1(2y + 8) = 0 Reorder the terms: -45 + 25y + -1(8 + 2y) = 0 -45 + 25y + (8 * -1 + 2y * -1) = 0 -45 + 25y + (-8 + -2y) = 0 Reorder the terms: -45 + -8 + 25y + -2y = 0 Combine like terms: -45 + -8 = -53 -53 + 25y + -2y = 0 Combine like terms: 25y + -2y = 23y -53 + 23y = 0 Solving -53 + 23y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '53' to each side of the equation. -53 + 53 + 23y = 0 + 53 Combine like terms: -53 + 53 = 0 0 + 23y = 0 + 53 23y = 0 + 53 Combine like terms: 0 + 53 = 53 23y = 53 Divide each side by '23'. y = 2.304347826 Simplifying y = 2.304347826
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