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Simplifying -5(5y + -8) + -1y = -4(y + -4) Reorder the terms: -5(-8 + 5y) + -1y = -4(y + -4) (-8 * -5 + 5y * -5) + -1y = -4(y + -4) (40 + -25y) + -1y = -4(y + -4) Combine like terms: -25y + -1y = -26y 40 + -26y = -4(y + -4) Reorder the terms: 40 + -26y = -4(-4 + y) 40 + -26y = (-4 * -4 + y * -4) 40 + -26y = (16 + -4y) Solving 40 + -26y = 16 + -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. 40 + -26y + 4y = 16 + -4y + 4y Combine like terms: -26y + 4y = -22y 40 + -22y = 16 + -4y + 4y Combine like terms: -4y + 4y = 0 40 + -22y = 16 + 0 40 + -22y = 16 Add '-40' to each side of the equation. 40 + -40 + -22y = 16 + -40 Combine like terms: 40 + -40 = 0 0 + -22y = 16 + -40 -22y = 16 + -40 Combine like terms: 16 + -40 = -24 -22y = -24 Divide each side by '-22'. y = 1.090909091 Simplifying y = 1.090909091
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