Learn Dutch: Je hoeft de gluten niet te eten, en je hoeft de soja ook niet te eten. - You do not have to eat the gluten, and you do not have to eat the soy either.

Because de soja is a specific direct object (indicated by the definite article de). In Dutch word order, adverbs of negation like niet or the combination ook niet must be placed after a specific direct object.

How do we translate "either" in the second half of this sentence?

English puts "not" near the verb and "either" at the end of the sentence. Dutch simply combines ook (also) and niet (not) to create ook niet (literally "also not").

Why is the verb hoeven used here instead of moeten for "have to"?

This is a crucial difference between Dutch and English! If you say je moet niet (you must not), it means eating it is strictly forbidden. To say that you "do not have to" do something (it is not required, but allowed), you must use the verb hoeven together with a negative word (like niet) and the word te before the infinitive verb (te eten).

Why do both niet and ook niet appear right before te eten?