Let's solve the equation step by step as per your instructions.
Starting with the original equation:
\[ \frac{4}{3} v + 8 = v + 12 \]
Now, we will subtract \(\frac{4}{3} v\) from both sides:
\[ \frac{4}{3} v + 8 - \frac{4}{3} v = v + 12 - \frac{4}{3} v \]
This simplifies to:
\[ 8 = v + 12 - \frac{4}{3} v \]
Now, to combine the \(v\) terms on the right side, we can rewrite \(v\) as \(\frac{3}{3} v\):
\[ 8 = \frac{3}{3} v + 12 - \frac{4}{3} v \]
Now we can combine the \(v\) terms:
\[ 8 = \frac{3}{3} v - \frac{4}{3} v + 12 \]
\[ 8 = -\frac{1}{3} v + 12 \]
So the equation now is:
\[ 8 = -\frac{1}{3} v + 12 \]
This is the equation after collecting all the \(v\) terms to one side. To solve for \(v\), we can subtract 12 from both sides:
\[ 8 - 12 = -\frac{1}{3} v \]
\[ -4 = -\frac{1}{3} v \]
Now, multiplying both sides by -3 to isolate \(v\):
\[ v = 12 \]
So, the solution for \(v\) is:
\[ \boxed{12} \]