Source : WordNet®

finish up
     v 1: finish a task completely; "I finally got through this
          homework assignment" [syn: {get through}, {wrap up}, {finish
          off}, {mop up}, {polish off}, {clear up}]
     2: finally be or do something; "He ended up marrying his high
        school sweetheart"; "he wound up being unemployed and
        living at home again" [syn: {land up}, {fetch up}, {end up},
         {wind up}, {finish}]