= Solution
\b[Yes: $y=2-x$.] Its <derivative> is $-1$, while substitution into the right-hand side gives $-2/(6-4)=-1$. This is the equilibrium $v=2$ of the transformed <autonomous differential equation>; it must be restored separately after dividing by $v-2$ in the separated solution.
It is the only straight-line solution. Substituting $y=mx+d$ into the original equation shows that $m\ne-1$ would require $m=-1/3$ from the $x$ coefficients, but the constant coefficients would then give $4/3=0$. For $m=-1$, the constant equation gives $d=2$.
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