Symbolic solving a linear system of equations

I've got a set of X equations with X unknows which describe an electrical circuit by nodal analysis. The system is fairly easy to solve when substiting the constants in the system with real values e.g. R.202 := 1 and so forth to determine the unknowns of the system.

I would like to evaluate this circuit symbolically, which is possible to do with similar systems (a tiny bit simpler, but similar) - but Mathcad chokes on this problem (hang'n'crash).

I've tried to reduce the number of system equations by substitution/superposition (which did the trick for the other systems when evaluating them 100% symbolically) - but I at an endpass with this system.

Given, Find() combo doesn't change the lack of Mathcad results.

I've tried to solve this problem on the following setups:

Mathcad14 M020

Mathcad 15 M005

Mathcad 15 M010

Do anyone in the community have an idea of how to symbolically solve a "complicated" linear system of equations using either:

(vector of equations),solve(unknowns) or

the given,find(unknowns) combo?

Tips'n'tricks and if you have another approach, then suggestions are more than welcome

Best regards
Dan