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Simplifying -5(2y + -9) + -1y = -4(y + -5) Reorder the terms: -5(-9 + 2y) + -1y = -4(y + -5) (-9 * -5 + 2y * -5) + -1y = -4(y + -5) (45 + -10y) + -1y = -4(y + -5) Combine like terms: -10y + -1y = -11y 45 + -11y = -4(y + -5) Reorder the terms: 45 + -11y = -4(-5 + y) 45 + -11y = (-5 * -4 + y * -4) 45 + -11y = (20 + -4y) Solving 45 + -11y = 20 + -4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '4y' to each side of the equation. 45 + -11y + 4y = 20 + -4y + 4y Combine like terms: -11y + 4y = -7y 45 + -7y = 20 + -4y + 4y Combine like terms: -4y + 4y = 0 45 + -7y = 20 + 0 45 + -7y = 20 Add '-45' to each side of the equation. 45 + -45 + -7y = 20 + -45 Combine like terms: 45 + -45 = 0 0 + -7y = 20 + -45 -7y = 20 + -45 Combine like terms: 20 + -45 = -25 -7y = -25 Divide each side by '-7'. y = 3.571428571 Simplifying y = 3.571428571
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