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Simplifying 3(12.5 + -0.5y) + 2y = 40 (12.5 * 3 + -0.5y * 3) + 2y = 40 (37.5 + -1.5y) + 2y = 40 Combine like terms: -1.5y + 2y = 0.5y 37.5 + 0.5y = 40 Solving 37.5 + 0.5y = 40 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-37.5' to each side of the equation. 37.5 + -37.5 + 0.5y = 40 + -37.5 Combine like terms: 37.5 + -37.5 = 0.0 0.0 + 0.5y = 40 + -37.5 0.5y = 40 + -37.5 Combine like terms: 40 + -37.5 = 2.5 0.5y = 2.5 Divide each side by '0.5'. y = 5 Simplifying y = 5
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