To solve the equation
\[ \frac{1}{4}(8 - 16g) + 8 = g, \]
we first simplify the left side of the equation.
Start by distributing \(\frac{1}{4}\) into the expression \(8 - 16g\):
\[ \frac{1}{4}(8) - \frac{1}{4}(16g) = 2 - 4g. \]
Now, replace \(\frac{1}{4}(8 - 16g)\) in the original equation:
\[ 2 - 4g + 8 = g. \]
Next, combine the constant terms on the left side:
\[ 10 - 4g = g. \]
Now, we will isolate \(g\). First, add \(4g\) to both sides of the equation:
\[ 10 = g + 4g, \]
which simplifies to:
\[ 10 = 5g. \]
Next, divide both sides by \(5\):
\[ g = \frac{10}{5} = 2. \]
Thus, the solution to the equation is
\[ \boxed{2}. \]