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Simplifying -5(5y + -9) + -1y = -3(y + -4) Reorder the terms: -5(-9 + 5y) + -1y = -3(y + -4) (-9 * -5 + 5y * -5) + -1y = -3(y + -4) (45 + -25y) + -1y = -3(y + -4) Combine like terms: -25y + -1y = -26y 45 + -26y = -3(y + -4) Reorder the terms: 45 + -26y = -3(-4 + y) 45 + -26y = (-4 * -3 + y * -3) 45 + -26y = (12 + -3y) Solving 45 + -26y = 12 + -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 = 12 + -3y + 3y Combine like terms: -26y + 3y = -23y 45 + -23y = 12 + -3y + 3y Combine like terms: -3y + 3y = 0 45 + -23y = 12 + 0 45 + -23y = 12 Add '-45' to each side of the equation. 45 + -45 + -23y = 12 + -45 Combine like terms: 45 + -45 = 0 0 + -23y = 12 + -45 -23y = 12 + -45 Combine like terms: 12 + -45 = -33 -23y = -33 Divide each side by '-23'. y = 1.434782609 Simplifying y = 1.434782609
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