It is sometimes confusing the conjugation of words such as everybody, somebody or anybody because some of them englobing, well, everybody, one may suppose it would conjugate as a plural, but no, it conjugates as a singular.
Here are some examples:
Everyones is expected to Wendy's party.
Somebody should check if the boiler is on.
Has anybody seen my baby?
On the other hand people is a plural noun -or pronoun, as some Grammar books may categorize it- and therefore should be conjugated as plural.
Eg. People are generally kind-hearted.
Here is a small exercise for you to practise:
Put the verbs in prenthesis in the correct form depending on the subject:
1. Everything possible (have) been done to save the patient's life.
2. Everyone (agree) with you.
3. Everyone (want) to be happy.
4. Most people (be) ambitious.
5. Many people (travel) by bus.
6. A few people (be) not frightened by earthquakes.
If you wish solve the exercise and post your results!