To solve the equation \( 4b + b = 55 \), we can first combine the like terms on the left side:
\[ 4b + b = 5b \]
Now the equation simplifies to:
\[ 5b = 55 \]
Next, we can isolate \( b \) by dividing both sides of the equation by 5:
\[ b = \frac{55}{5} = 11 \]
So the solution is:
\[ b = 11 \]