Learn Farsi: استادید و خیلی ناراحتید. - You are a professor and you are very sad.

Farsi is a "pro-drop" language, which means you can often drop the subject pronoun. Because the ending -ید (-id) on both استادید and ناراحتید already tells us the subject is "you," adding شما (shomaa) at the beginning isn't necessary.

Where is the verb "are" in this sentence?

In the present tense, the Farsi verb "to be" is usually attached directly to the end of nouns and adjectives as a suffix. Here, the ending -ید (-id) is attached to استاد (ostaad, professor) to make استادید ("you are a professor"), and to ناراحت (naaraahat, sad) to make ناراحتید ("you are sad").

Since -ید is the plural ending, does this sentence mean "you all are professors"?

While -ید (-id) is the ending for the plural "you" (شما), Farsi speakers constantly use this plural form to speak to a single person politely. Given that the translation says "a professor," this sentence is using the formal, polite singular.

Does ناراحت only mean "sad"?

ناراحت (naaraahat) is a very common word that can mean "sad," "upset," or "uncomfortable." It literally translates to "without comfort" or "not relaxed" and covers a wide range of negative feelings depending on the situation.