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Simplifying -5(y + -9) + 4(2y + -1) = 0 Reorder the terms: -5(-9 + y) + 4(2y + -1) = 0 (-9 * -5 + y * -5) + 4(2y + -1) = 0 (45 + -5y) + 4(2y + -1) = 0 Reorder the terms: 45 + -5y + 4(-1 + 2y) = 0 45 + -5y + (-1 * 4 + 2y * 4) = 0 45 + -5y + (-4 + 8y) = 0 Reorder the terms: 45 + -4 + -5y + 8y = 0 Combine like terms: 45 + -4 = 41 41 + -5y + 8y = 0 Combine like terms: -5y + 8y = 3y 41 + 3y = 0 Solving 41 + 3y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-41' to each side of the equation. 41 + -41 + 3y = 0 + -41 Combine like terms: 41 + -41 = 0 0 + 3y = 0 + -41 3y = 0 + -41 Combine like terms: 0 + -41 = -41 3y = -41 Divide each side by '3'. y = -13.66666667 Simplifying y = -13.66666667
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