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Simplifying 2y + 5(0.5 + -1.25y) = 11 2y + (0.5 * 5 + -1.25y * 5) = 11 2y + (2.5 + -6.25y) = 11 Reorder the terms: 2.5 + 2y + -6.25y = 11 Combine like terms: 2y + -6.25y = -4.25y 2.5 + -4.25y = 11 Solving 2.5 + -4.25y = 11 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-2.5' to each side of the equation. 2.5 + -2.5 + -4.25y = 11 + -2.5 Combine like terms: 2.5 + -2.5 = 0.0 0.0 + -4.25y = 11 + -2.5 -4.25y = 11 + -2.5 Combine like terms: 11 + -2.5 = 8.5 -4.25y = 8.5 Divide each side by '-4.25'. y = -2 Simplifying y = -2
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