First, let's focus on the terms INSIDE of the parenthesis.
Now, combining the like terms, we get the expression \((3y-11)^{4}\)
Now, since the only way to retrieve y^4 is in the first term, the coefficient is just the coefficient of y to the power of 4.
THus, we have \(3^4 = 81\)
Now, just for confirmation, we have the full expansion here (no reccomended)
\(81y^{4}-1188y^{3}+6534y^{2}-15972y+14641\)
Thus, the answer is 81.
Thanks! :)