1. **State the problem:** Solve the equation $$(28 - x) y + \frac{xy}{2} = 600$$ for $y$ in terms of $x$. 2. **Rewrite the equation:** The equation is $$(28 - x) y + \frac{xy}{2} = 600$$. 3. **Combine like terms:** Factor $y$ out: $$y \left(28 - x + \frac{x}{2}\right) = 600$$ 4. **Simplify inside the parentheses:** $$28 - x + \frac{x}{2} = 28 - \frac{2x}{2} + \frac{x}{2} = 28 - \frac{x}{2}$$ 5. **Rewrite the equation:** $$y \left(28 - \frac{x}{2}\right) = 600$$ 6. **Solve for $y$:** $$y = \frac{600}{28 - \frac{x}{2}} = \frac{600}{\frac{56 - x}{2}} = \frac{600 \times 2}{56 - x} = \frac{1200}{56 - x}$$ **Final answer:** $$y = \frac{1200}{56 - x}$$