Coefficient

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! :)