Hi,
Please check that you don't have cache activated.
You can activate the "debug language" in Joomla to have details about the translations (and know if there are some troubles).
Please check that you don't have an override for the view "checkout | step" (where the button "next" is displayed).
Please check the translation for the key:
CHECKOUT_BUTTON_FINISH="Finish"
"Next" is a too classical language key, it is possible that something else also define it.
The debug language will help you to understand that and if needed, a view override will allow you to change the translation key.
Regards,