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Simplifying -5(5y + -9) + -1y = -3(y + -3) Reorder the terms: -5(-9 + 5y) + -1y = -3(y + -3) (-9 * -5 + 5y * -5) + -1y = -3(y + -3) (45 + -25y) + -1y = -3(y + -3) Combine like terms: -25y + -1y = -26y 45 + -26y = -3(y + -3) Reorder the terms: 45 + -26y = -3(-3 + y) 45 + -26y = (-3 * -3 + y * -3) 45 + -26y = (9 + -3y) Solving 45 + -26y = 9 + -3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '3y' to each side of the equation. 45 + -26y + 3y = 9 + -3y + 3y Combine like terms: -26y + 3y = -23y 45 + -23y = 9 + -3y + 3y Combine like terms: -3y + 3y = 0 45 + -23y = 9 + 0 45 + -23y = 9 Add '-45' to each side of the equation. 45 + -45 + -23y = 9 + -45 Combine like terms: 45 + -45 = 0 0 + -23y = 9 + -45 -23y = 9 + -45 Combine like terms: 9 + -45 = -36 -23y = -36 Divide each side by '-23'. y = 1.565217391 Simplifying y = 1.565217391
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