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Simplifying 51y = 25(2y + 7) Reorder the terms: 51y = 25(7 + 2y) 51y = (7 * 25 + 2y * 25) 51y = (175 + 50y) Solving 51y = 175 + 50y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-50y' to each side of the equation. 51y + -50y = 175 + 50y + -50y Combine like terms: 51y + -50y = 1y 1y = 175 + 50y + -50y Combine like terms: 50y + -50y = 0 1y = 175 + 0 1y = 175 Divide each side by '1'. y = 175 Simplifying y = 175
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