WordNet (r) 3.0 (2006):

untangling
    n 1: the act of releasing from a snarled or tangled condition
         [syn: unsnarling, untangling, disentanglement,
         extrication]

Moby Thesaurus II by Grady Ward, 1.0:

47 Moby Thesaurus words for "untangling":
   accomplishment, answer, ascertainment, breaking out, clearing,
   clearing up, cracking, decipherment, decoding, denouement,
   determination, disembarrassment, disembroilment, disengagement,
   disentanglement, disinvolvement, dislodgment, end, end result,
   explanation, extrication, finding, finding-out, freeing,
   interpretation, issue, outcome, reason, releasing, resolution,
   resolving, result, riddling, solution, solving, sorting out,
   unknotting, unraveling, unriddling, unscrambling, unsnarling,
   unspinning, untwisting, unweaving, upshot, working, working-out