Answer
$(y+8)^2$
Work Step by Step
Since the coefficient of the squared term is one, we know that the expression must factor to:
$$ (y\pm a)(y\pm b)$$
Here, we see that a and b must multiply to get $64$ and add to get $16$. Thus, we find that the solution is:
$$(y+8)(y+8)\\ (y+8)^2$$