To solve the equation $\frac{1}{4}x - 3y = 4$, we can express it in terms of one variable or solve it for a particular variable.

Solving for $x$:

1. Start by isolating $x$. $\frac{1}{4}x - 3y = 4$
2. Add $3y$ to both sides: $\frac{1}{4}x = 3y + 4$
3. Multiply both sides by 4 to get rid of the fraction: $x = 4(3y + 4)$ $x = 12y + 16$

Thus, the equation solved for $x$ is: $x = 12y + 16$

Would you like more details or clarification? Here are some related questions:

1. How would you solve for $y$ in this equation?
2. Can you substitute a value for $y$ and find $x$?
3. What happens if we graph the equation?
4. How can this equation be converted into slope-intercept form?
5. What would happen if the fraction in the original equation were different?

Tip: Always check your work by substituting your result back into the original equation to verify correctness.