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Simplifying 2(50 + -0.5y) + 7y = 400 (50 * 2 + -0.5y * 2) + 7y = 400 (100 + -1y) + 7y = 400 Combine like terms: -1y + 7y = 6y 100 + 6y = 400 Solving 100 + 6y = 400 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-100' to each side of the equation. 100 + -100 + 6y = 400 + -100 Combine like terms: 100 + -100 = 0 0 + 6y = 400 + -100 6y = 400 + -100 Combine like terms: 400 + -100 = 300 6y = 300 Divide each side by '6'. y = 50 Simplifying y = 50
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