게 지우다

erase or remove it

An adverb in "-게" plus 지우다 "erase, remove", with the adverb doing the assessing: 깨끗하게 cleanly, 급하게 in a rush, 쉽게 easily, 깔끔하게 neatly. Most of these lines are about taking makeup off — how did you get it so clean, people who take it off in a hurry, this comes off neatly, a warning that it rubs off easily. It also goes figurative: 돌이킬 수 없게 지워낸 발자취, footprints erased beyond recovery.