\[\left( y^{2} - 2y \right)^{2} - y^{2}(y + 3)(y - 3) + 2y \cdot \left( 2y^{2} + 5 \right) =\]
\[= y^{4} - 4y^{3} + 4y^{2} - y^{2}\left( y^{2} - 9 \right) + 4y^{3} + 10y =\]
\[= y^{4} + 4y^{2} + 10y - \ y^{4} + 9y^{2} =\]
\[= 13y^{2} + 10y\]