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Simplifying -5(5y + -7) + -1y = -4(y + -3) Reorder the terms: -5(-7 + 5y) + -1y = -4(y + -3) (-7 * -5 + 5y * -5) + -1y = -4(y + -3) (35 + -25y) + -1y = -4(y + -3) Combine like terms: -25y + -1y = -26y 35 + -26y = -4(y + -3) Reorder the terms: 35 + -26y = -4(-3 + y) 35 + -26y = (-3 * -4 + y * -4) 35 + -26y = (12 + -4y) Solving 35 + -26y = 12 + -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. 35 + -26y + 4y = 12 + -4y + 4y Combine like terms: -26y + 4y = -22y 35 + -22y = 12 + -4y + 4y Combine like terms: -4y + 4y = 0 35 + -22y = 12 + 0 35 + -22y = 12 Add '-35' to each side of the equation. 35 + -35 + -22y = 12 + -35 Combine like terms: 35 + -35 = 0 0 + -22y = 12 + -35 -22y = 12 + -35 Combine like terms: 12 + -35 = -23 -22y = -23 Divide each side by '-22'. y = 1.045454545 Simplifying y = 1.045454545
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