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Simplifying 5(y + 5) = 4(y + 5) Reorder the terms: 5(5 + y) = 4(y + 5) (5 * 5 + y * 5) = 4(y + 5) (25 + 5y) = 4(y + 5) Reorder the terms: 25 + 5y = 4(5 + y) 25 + 5y = (5 * 4 + y * 4) 25 + 5y = (20 + 4y) Solving 25 + 5y = 20 + 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. 25 + 5y + -4y = 20 + 4y + -4y Combine like terms: 5y + -4y = 1y 25 + 1y = 20 + 4y + -4y Combine like terms: 4y + -4y = 0 25 + 1y = 20 + 0 25 + 1y = 20 Add '-25' to each side of the equation. 25 + -25 + 1y = 20 + -25 Combine like terms: 25 + -25 = 0 0 + 1y = 20 + -25 1y = 20 + -25 Combine like terms: 20 + -25 = -5 1y = -5 Divide each side by '1'. y = -5 Simplifying y = -5
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