1. **Stating the problem:** Solve the linear equation $x + 4y = 2$ for $y$ in terms of $x$. 2. **Formula and rules:** To solve for $y$, isolate $y$ on one side of the equation. This involves moving other terms to the opposite side and dividing by the coefficient of $y$. 3. **Intermediate work:** Start with the equation: $$x + 4y = 2$$ Subtract $x$ from both sides: $$4y = 2 - x$$ Divide both sides by 4: $$y = \frac{2 - x}{4}$$ 4. **Explanation:** We rearranged the equation to express $y$ explicitly as a function of $x$. This form is useful for graphing or further analysis. **Final answer:** $$y = \frac{2 - x}{4}$$