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finish someone or something up
Fig. to finish doing something to someone or something. I will finish this typing up in a few minutes. She finished up Fred in a short time.
1. To conclude something; bring something to an end: We finished up dinner and took the dirty dishes to the kitchen. The council finished the meeting up by stating when the next meeting would occur.
2. To conclude; end: The meeting finished up at 11:00. Finish up reading your book, already—it's late!