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Simplifying 5(y + -9) + 2(7 + -1y) = 0 Reorder the terms: 5(-9 + y) + 2(7 + -1y) = 0 (-9 * 5 + y * 5) + 2(7 + -1y) = 0 (-45 + 5y) + 2(7 + -1y) = 0 -45 + 5y + (7 * 2 + -1y * 2) = 0 -45 + 5y + (14 + -2y) = 0 Reorder the terms: -45 + 14 + 5y + -2y = 0 Combine like terms: -45 + 14 = -31 -31 + 5y + -2y = 0 Combine like terms: 5y + -2y = 3y -31 + 3y = 0 Solving -31 + 3y = 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 + 3y = 0 + 31 Combine like terms: -31 + 31 = 0 0 + 3y = 0 + 31 3y = 0 + 31 Combine like terms: 0 + 31 = 31 3y = 31 Divide each side by '3'. y = 10.33333333 Simplifying y = 10.33333333
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