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Simplifying 0.5y + 2 = 0.25y + 5 Reorder the terms: 2 + 0.5y = 0.25y + 5 Reorder the terms: 2 + 0.5y = 5 + 0.25y Solving 2 + 0.5y = 5 + 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. 2 + 0.5y + -0.25y = 5 + 0.25y + -0.25y Combine like terms: 0.5y + -0.25y = 0.25y 2 + 0.25y = 5 + 0.25y + -0.25y Combine like terms: 0.25y + -0.25y = 0.00 2 + 0.25y = 5 + 0.00 2 + 0.25y = 5 Add '-2' to each side of the equation. 2 + -2 + 0.25y = 5 + -2 Combine like terms: 2 + -2 = 0 0 + 0.25y = 5 + -2 0.25y = 5 + -2 Combine like terms: 5 + -2 = 3 0.25y = 3 Divide each side by '0.25'. y = 12 Simplifying y = 12
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