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Simplifying 3(0.5 + 0.75y) + 2y = 27 (0.5 * 3 + 0.75y * 3) + 2y = 27 (1.5 + 2.25y) + 2y = 27 Combine like terms: 2.25y + 2y = 4.25y 1.5 + 4.25y = 27 Solving 1.5 + 4.25y = 27 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-1.5' to each side of the equation. 1.5 + -1.5 + 4.25y = 27 + -1.5 Combine like terms: 1.5 + -1.5 = 0.0 0.0 + 4.25y = 27 + -1.5 4.25y = 27 + -1.5 Combine like terms: 27 + -1.5 = 25.5 4.25y = 25.5 Divide each side by '4.25'. y = 6 Simplifying y = 6
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