1
general::
Phrase(s): win through something
to succeed by a certain method or procedure. • Winning is no good if you have to win through dishonesty. • Sally won through her own hard work.
McGrawhill's American Idioms And Phrasal Verbs
2
general::
Also, win the day. End successfully, be victorious, as in We didn't know until the very end if they would win through, or It seems that hard work won the day. The first term dates from the late 1800s and today is more often put as COME THROUGH (def. 1). The variant originally alluded to the outcome of a battle and dates from the late 1500s.
American Heritage Idioms