We are given the equation $0-4 = -\frac{1}{4}^y$ and we want to solve for $y$.

1. Problem Description

We are given the equation $0-4 = -\frac{1}{4}^y$ and we want to solve for $y$.

2. Solution Steps

First, simplify the left side of the equation:

$0 - 4 = -4$

So we have:

$-4 = -\frac{1}{4}^y$

Multiply both sides by -1:

$4 = \frac{1}{4}^y$

We can rewrite 4 as $4^1$, and $\frac{1}{4}$ as $4^{-1}$.

$4^1 = (4^{-1})^y$

$4^1 = 4^{-y}$

Since the bases are equal, the exponents must be equal.

$1 = -y$

Multiply both sides by -1:

$y = -1$

3. Final Answer

$y = -1$