YOU SAID:

I will not let the dogs out.

INTO JAPANESE

の犬はさせません。

BACK INTO ENGLISH

The dog does not.

INTO JAPANESE

犬はしていません。

BACK INTO ENGLISH

And not the dog.

INTO JAPANESE

犬ではないです。

BACK INTO ENGLISH

Not a dog.

INTO JAPANESE

犬もいない！

BACK INTO ENGLISH

Not a dog!

INTO JAPANESE

犬もいない！

BACK INTO ENGLISH

Not a dog!