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Simplifying 3y + -5(5y + -2) = -1 + -5(-5 + -1y) Reorder the terms: 3y + -5(-2 + 5y) = -1 + -5(-5 + -1y) 3y + (-2 * -5 + 5y * -5) = -1 + -5(-5 + -1y) 3y + (10 + -25y) = -1 + -5(-5 + -1y) Reorder the terms: 10 + 3y + -25y = -1 + -5(-5 + -1y) Combine like terms: 3y + -25y = -22y 10 + -22y = -1 + -5(-5 + -1y) 10 + -22y = -1 + (-5 * -5 + -1y * -5) 10 + -22y = -1 + (25 + 5y) Combine like terms: -1 + 25 = 24 10 + -22y = 24 + 5y Solving 10 + -22y = 24 + 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. 10 + -22y + -5y = 24 + 5y + -5y Combine like terms: -22y + -5y = -27y 10 + -27y = 24 + 5y + -5y Combine like terms: 5y + -5y = 0 10 + -27y = 24 + 0 10 + -27y = 24 Add '-10' to each side of the equation. 10 + -10 + -27y = 24 + -10 Combine like terms: 10 + -10 = 0 0 + -27y = 24 + -10 -27y = 24 + -10 Combine like terms: 24 + -10 = 14 -27y = 14 Divide each side by '-27'. y = -0.5185185185 Simplifying y = -0.5185185185
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