To find the value of \( u \) that solves the equation \( 10u - 6u = 36 \), we first simplify the left side:
\[ 10u - 6u = 4u \]
Now, we can rewrite the equation as:
\[ 4u = 36 \]
Next, we can solve for \( u \) by dividing both sides by 4:
\[ u = \frac{36}{4} = 9 \]
Thus, the solution is:
\[ \boxed{9} \]