Work out why (6)
I believe the answer is:
reason
This clue is a double definition.
'work out' is the first definition.
(thesaurus)
'why' is the second definition.
(thesaurus)
(Other definitions for reason that I've seen before include "'Motivation, grounds (6)'" , "Logic of senora" , "Justification needed" , "Cause to perform" , "Logic, sense" .)