\[16y + 2 \cdot (y - 4)^{2} =\]
\[= 16y + 2 \cdot \left( y^{2} - 8y + 16 \right) =\]
\[= 16y + 2y^{2} - 16y + 32 =\]
\[= 2y^{2} + 32\]