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Simplifying 3y + -5(5y + 5) = 2 + -5(-3 + -1y) Reorder the terms: 3y + -5(5 + 5y) = 2 + -5(-3 + -1y) 3y + (5 * -5 + 5y * -5) = 2 + -5(-3 + -1y) 3y + (-25 + -25y) = 2 + -5(-3 + -1y) Reorder the terms: -25 + 3y + -25y = 2 + -5(-3 + -1y) Combine like terms: 3y + -25y = -22y -25 + -22y = 2 + -5(-3 + -1y) -25 + -22y = 2 + (-3 * -5 + -1y * -5) -25 + -22y = 2 + (15 + 5y) Combine like terms: 2 + 15 = 17 -25 + -22y = 17 + 5y Solving -25 + -22y = 17 + 5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-5y' to each side of the equation. -25 + -22y + -5y = 17 + 5y + -5y Combine like terms: -22y + -5y = -27y -25 + -27y = 17 + 5y + -5y Combine like terms: 5y + -5y = 0 -25 + -27y = 17 + 0 -25 + -27y = 17 Add '25' to each side of the equation. -25 + 25 + -27y = 17 + 25 Combine like terms: -25 + 25 = 0 0 + -27y = 17 + 25 -27y = 17 + 25 Combine like terms: 17 + 25 = 42 -27y = 42 Divide each side by '-27'. y = -1.555555556 Simplifying y = -1.555555556
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