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Simplifying 5(0.5 + -1.25y) + -2y = 52 (0.5 * 5 + -1.25y * 5) + -2y = 52 (2.5 + -6.25y) + -2y = 52 Combine like terms: -6.25y + -2y = -8.25y 2.5 + -8.25y = 52 Solving 2.5 + -8.25y = 52 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 + -8.25y = 52 + -2.5 Combine like terms: 2.5 + -2.5 = 0.0 0.0 + -8.25y = 52 + -2.5 -8.25y = 52 + -2.5 Combine like terms: 52 + -2.5 = 49.5 -8.25y = 49.5 Divide each side by '-8.25'. y = -6 Simplifying y = -6
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