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Verb: finish up
  1. Finish a task completely
    "I finally finished up this homework assignment";
    - get through, wrap up [informal], finish off, mop up, polish off [informal]
     
  2. Finally be or do something
    "He finished up marrying his high school sweetheart";
    - land up, fetch up, end up [informal], wind up, finish

Derived forms: finished up, finishes up, finishing up

Type of: act, complete, finish, move