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Simplifying -3(-1 + -7y) = 5(-24 + -4y) (-1 * -3 + -7y * -3) = 5(-24 + -4y) (3 + 21y) = 5(-24 + -4y) 3 + 21y = (-24 * 5 + -4y * 5) 3 + 21y = (-120 + -20y) Solving 3 + 21y = -120 + -20y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '20y' to each side of the equation. 3 + 21y + 20y = -120 + -20y + 20y Combine like terms: 21y + 20y = 41y 3 + 41y = -120 + -20y + 20y Combine like terms: -20y + 20y = 0 3 + 41y = -120 + 0 3 + 41y = -120 Add '-3' to each side of the equation. 3 + -3 + 41y = -120 + -3 Combine like terms: 3 + -3 = 0 0 + 41y = -120 + -3 41y = -120 + -3 Combine like terms: -120 + -3 = -123 41y = -123 Divide each side by '41'. y = -3 Simplifying y = -3
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