1. **State the problem:** Solve the linear equation $k + 2y = 4$ for $y$. 2. **Formula and rules:** To isolate $y$, we use the rule of solving linear equations by performing inverse operations. Here, we want to get $y$ alone on one side. 3. **Isolate $y$:** Subtract $k$ from both sides: $$k + 2y = 4$$ $$k + 2y - k = 4 - k$$ $$2y = 4 - k$$ 4. **Divide both sides by 2:** $$\frac{\cancel{2}y}{\cancel{2}} = \frac{4 - k}{2}$$ $$y = \frac{4 - k}{2}$$ 5. **Final answer:** $$y = \frac{4 - k}{2}$$ This means $y$ depends on the value of $k$ and is half of the quantity $4 - k$.