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to push away; to push aside; to shove
散らかった書類を机の端に押し遣った。
I pushed the scattered documents to the edge of the desk.
横にある重い荷物を押し遣って引き出しを開けた。
I shoved the heavy luggage aside and opened the drawer.
不都合な感情を心の奥に押し遣ることで前に進んだ。
By pushing uncomfortable feelings deep into my heart, I was able to move forward.