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Simplifying y = 0.5(3.5 + 0.5y) + -1 y = (3.5 * 0.5 + 0.5y * 0.5) + -1 y = (1.75 + 0.25y) + -1 Reorder the terms: y = 1.75 + -1 + 0.25y Combine like terms: 1.75 + -1 = 0.75 y = 0.75 + 0.25y Solving y = 0.75 + 0.25y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.25y' to each side of the equation. y + -0.25y = 0.75 + 0.25y + -0.25y Combine like terms: y + -0.25y = 0.75y 0.75y = 0.75 + 0.25y + -0.25y Combine like terms: 0.25y + -0.25y = 0.00 0.75y = 0.75 + 0.00 0.75y = 0.75 Divide each side by '0.75'. y = 1 Simplifying y = 1
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