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でてきた

came out; appeared; emerged

→ 出る
phrase Rare #35,435
came out; appeared; emerged Usually written 出てきた. This is the past form of 出てくる, meaning that something came out, appeared, or began to emerge. It can also describe an improvement or development, as in 調子がでてきた (things are starting to go well).
JA: 芽がでてきた。
EN: A sprout has appeared.

調子でてきたね。

You're getting into the groove.

彼はカーテンの陰からでてきた。

He emerged from behind the curtain.

強い風がでてきた。

A strong wind has started to blow.

芽がでてきた。

The sprouts are starting to come up.