They will cast the votes.

They will cast the votes.

Explanation

Active Voice: They will cast the votes.

Passive Voice: Votes will be cast by them. 

Future Indefinite Tense-Passive Voice 

Convert the object of the Active Voice Sentence into the subject of the Passive Voice sentence.

Then use helping verb will be/shall be according to the subject of the Passive Voice Sentence.

Then use the 3rd form of Verb.

After that, use the word “by”, in order to show the doer.