Is there a word for side-by-side translations?

Solution 1:

I believe that the word you're looking for is parallel translation.

Solution 2:

Another term, polyglot edition, refers to books published in a form where the original language is printed on left-hand pages, the translated text on right-hand facing pages. You can view a sample of such a text here.

Solution 3:

A word-for-word translation under the original text is known as an interlinear translation.

John 1v1, from the Kingdom Interlinear

John 20v28, from the Kingdom Interlinear