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Simplifying 0.5(20 + -1y) + 0.75y = 11.50 (20 * 0.5 + -1y * 0.5) + 0.75y = 11.50 (10 + -0.5y) + 0.75y = 11.50 Combine like terms: -0.5y + 0.75y = 0.25y 10 + 0.25y = 11.50 Solving 10 + 0.25y = 11.50 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + 0.25y = 11.50 + -10 Combine like terms: 10 + -10 = 0 0 + 0.25y = 11.50 + -10 0.25y = 11.50 + -10 Combine like terms: 11.50 + -10 = 1.5 0.25y = 1.5 Divide each side by '0.25'. y = 6 Simplifying y = 6
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