Consider $6my-9m^{2}-y^{2}$. Consider $6my-9m^{2}-y^{2}$ as a polynomial over variable $m$.
$$-9m^{2}+6ym-y^{2}$$
Find one factor of the form $km^{n}+p$, where $km^{n}$ divides the monomial with the highest power $-9m^{2}$ and $p$ divides the constant factor $-y^{2}$. One such factor is $-y+3m$. Factor the polynomial by dividing it by this factor.