To solve for \( f \) in the equation
\[ f = -2 + \frac{4}{5}f - 3, \]
first, simplify the right side:
\[ f = -2 - 3 + \frac{4}{5}f. \]
This simplifies to:
\[ f = -5 + \frac{4}{5}f. \]
Next, to isolate \( f \), we can eliminate \( \frac{4}{5}f \) by subtracting \( \frac{4}{5}f \) from both sides:
\[ f - \frac{4}{5}f = -5. \]
This simplifies to:
\[ \frac{1}{5}f = -5. \]
Now, multiply both sides by 5 to solve for \( f \):
\[ f = -5 \times 5, \] \[ f = -25. \]
So, the solution is
\[ \boxed{-25}. \]