YOU SAID:
i went to go walk my dog but she ran away.
INTO JAPANESE
私は私の犬を散歩に行きましたが、彼女は逃げました。
BACK INTO ENGLISH
I went for a walk for my dog, but she ran away.
INTO JAPANESE
私は私の犬の散歩に出かけたが、彼女は逃げた。
BACK INTO ENGLISH
I went for a walk on my dog, but she ran away.
INTO JAPANESE
私は私の犬を散歩に出かけたが、彼女は逃げた。
BACK INTO ENGLISH
I went for a walk for my dog, but she ran away.
INTO JAPANESE
私は私の犬の散歩に出かけたが、彼女は逃げた。
BACK INTO ENGLISH
I went for a walk on my dog, but she ran away.
INTO JAPANESE
私は私の犬を散歩に出かけたが、彼女は逃げた。
it is unlikely that this phrase will ever reach equilibrium