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Simplifying 5(3y + 2) = 25(x + y) Reorder the terms: 5(2 + 3y) = 25(x + y) (2 * 5 + 3y * 5) = 25(x + y) (10 + 15y) = 25(x + y) 10 + 15y = (x * 25 + y * 25) 10 + 15y = (25x + 25y) Solving 10 + 15y = 25x + 25y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-25y' to each side of the equation. 10 + 15y + -25y = 25x + 25y + -25y Combine like terms: 15y + -25y = -10y 10 + -10y = 25x + 25y + -25y Combine like terms: 25y + -25y = 0 10 + -10y = 25x + 0 10 + -10y = 25x Add '-10' to each side of the equation. 10 + -10 + -10y = -10 + 25x Combine like terms: 10 + -10 = 0 0 + -10y = -10 + 25x -10y = -10 + 25x Divide each side by '-10'. y = 1 + -2.5x Simplifying y = 1 + -2.5x
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