solving for a large number of unknowns by substitution or simulation

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I am trying to develop a streamline method to solve for the variables in equations of the sort:

$E+F+G=25$

$E+H+I=40$

$F+H+J=35$

$G+I+J=30$

The equations I need to solve will have up to $20$ variables. An online tool would be useful.

Thanks