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Simplifying -5(5y + -9) + -1y = -2(y + -5) Reorder the terms: -5(-9 + 5y) + -1y = -2(y + -5) (-9 * -5 + 5y * -5) + -1y = -2(y + -5) (45 + -25y) + -1y = -2(y + -5) Combine like terms: -25y + -1y = -26y 45 + -26y = -2(y + -5) Reorder the terms: 45 + -26y = -2(-5 + y) 45 + -26y = (-5 * -2 + y * -2) 45 + -26y = (10 + -2y) Solving 45 + -26y = 10 + -2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '2y' to each side of the equation. 45 + -26y + 2y = 10 + -2y + 2y Combine like terms: -26y + 2y = -24y 45 + -24y = 10 + -2y + 2y Combine like terms: -2y + 2y = 0 45 + -24y = 10 + 0 45 + -24y = 10 Add '-45' to each side of the equation. 45 + -45 + -24y = 10 + -45 Combine like terms: 45 + -45 = 0 0 + -24y = 10 + -45 -24y = 10 + -45 Combine like terms: 10 + -45 = -35 -24y = -35 Divide each side by '-24'. y = 1.458333333 Simplifying y = 1.458333333
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