To push, brush, or clear something back and away (from something) very lightly and quickly with or as with one's hand. A noun or pronoun can be used between "sweep" and "back." I need to get my hair cut. I hate having to constantly sweep my hair back from my face. He swept back the curtains to let in the brilliant morning light. She swept back the dirt and debris so she could read the inscription on the ancient tomb.
sweep something back
to push or move something backward in the shape of a curve. He took the brush and swept his hair back in a huge wave. She swept back her hair in a striking arrangement.