Αφήστε με να τελειώσω αυτό το email και μετά θα σας βοηθήσω με τα έγγραφα.

Αφήστε is the imperative form of αφήνω (to leave, let).

In this sentence, Αφήστε με... means Let me...

This form is:

• plural imperative: used when speaking to more than one person
• also the standard polite singular form, like you in formal English situations

So Αφήστε με can mean:

• Let me (addressing several people)
• Let me (addressing one person politely)

A less formal singular version would be Άφησέ με.

The word με means me. It is the object pronoun of εγώ (I).

So:

• Αφήστε = leave / let
• με = me

Together, Αφήστε με literally means Leave me or, in this context, Let me.

Greek often uses object pronouns before or after verbs depending on the form. With affirmative imperatives, the pronoun often comes after the verb:

• Πες μου = Tell me
• Δώστε μου = Give me
• Αφήστε με = Let me

να is a very common Greek particle used before a verb form that often corresponds to English structures like:

• to ...
• that ...
• let ...
• so that ...

Here, Αφήστε με να τελειώσω means literally something like Let me so-that-I-finish, which in natural English becomes Let me finish.

In Modern Greek, after verbs like αφήνω in this meaning, Greek uses να + verb, not an infinitive. Greek does not have an infinitive like English to finish in ordinary usage.

So:

• English: Let me finish
• Greek: Αφήστε με να τελειώσω

After να, Greek usually uses the subjunctive-related form, not the ordinary present indicative.

That is why you get:

• να τελειώσω = for me to finish / let me finish not
• να τελειώνω in this sentence

More specifically:

• τελειώνω = present, I finish / I am finishing
• τελειώσω = a form typically used after να, often with a more single, complete action sense

Here the idea is Let me finish this email as one complete task, so να τελειώσω fits naturally.

Here τελειώσω means finish in the sense of complete.

With αυτό το email, the meaning is:

• finish this email
• that usually implies finish writing it, depending on context

Greek does not need a separate verb for finish writing here, because the object email makes the meaning clear.

This is how Greek commonly says this email.

It is made of:

• αυτό = this
• το = the neuter definite article, here agreeing with email
• email = the noun

So:

• αυτό το email = this email

Greek often uses both:

1. a demonstrative like αυτός, αυτή, αυτό
2. the definite article

Compare:

• αυτό το βιβλίο = this book
• αυτή η ιδέα = this idea
• αυτό το email = this email

That double structure is normal in Greek.

Greek often keeps some modern international words, especially tech words, in Latin letters, though you may also see Greek spellings in some contexts.

Even when written as email, Greek still treats it like a Greek noun grammatically. Here it behaves as a neuter singular noun, which is why it goes with:

• το
• αυτό

So:

• το email
• αυτό το email

Learners should just accept that borrowed words can still take Greek articles and fit into Greek sentence structure.

και μετά means and then / and after that.

In this sentence it links the two actions:

1. Let me finish this email
2. then I’ll help you with the documents

Yes, Greek could sometimes use just μετά, but και μετά sounds very natural because it clearly connects the first action to the next one:

• first this
• and then that

So the phrase gives a smooth sequence:

• Αφήστε με να τελειώσω αυτό το email και μετά θα σας βοηθήσω...

θα is the marker usually used to form the future in Modern Greek.

So:

• βοηθώ = I help / I am helping
• θα βοηθήσω = I will help

In this sentence:

• θα σας βοηθήσω = I will help you

The form βοηθήσω after θα is the usual future-type form here, referring to a single action in the future.

σας means you as an object.

It can refer to:

• you all
• you in a polite/formal singular sense

So θα σας βοηθήσω means:

• I will help you either plural or polite singular, depending on context

This matches Αφήστε, which is also plural/formal. So the sentence is consistently addressing:

• more than one person, or
• one person formally

Here με means with.

So:

• θα σας βοηθήσω με τα έγγραφα = I will help you with the documents

Greek often uses βοηθάω/βοηθώ κάποιον με κάτι:

• I help someone with something

Structure:

• σας = you
• με τα έγγραφα = with the documents

So the sentence literally works like:

• I will help you with the documents

τα έγγραφα is in the accusative plural.

Why? Because after the preposition με (with), Greek uses the accusative.

Breakdown:

• τα = the for neuter plural accusative
• έγγραφα = documents, neuter plural

Dictionary form:

• singular: το έγγραφο
• plural: τα έγγραφα

In neuter nouns, nominative and accusative are often the same in form, so learners may not notice a visible change here.

Yes, it is formal or plural throughout.

Signs of that:

• Αφήστε = plural/formal imperative
• σας = you plural/formal

So this is the kind of sentence you might say:

• to a client
• to colleagues
• to a group of people
• to someone you want to address politely

An informal singular version would look different, for example:

• Άφησέ με να τελειώσω αυτό το email και μετά θα σε βοηθήσω με τα έγγραφα.

Here:

• Άφησέ = informal singular imperative
• σε = informal singular you

Greek usually does not need to state the subject pronoun, because the verb ending already shows who the subject is.

For example:

• τελειώσω already tells you the subject is I
• βοηθήσω also tells you the subject is I

So Greek naturally says:

• θα σας βοηθήσω

not usually:

• θα εγώ σας βοηθήσω

If you added εγώ, it would be for emphasis:

• ...και μετά εγώ θα σας βοηθήσω = ...and then I will help you
  with extra emphasis on I

But in the given sentence, the subject is clear without it.

A fairly literal breakdown is:

• Αφήστε με = Let me
• να τελειώσω = finish
• αυτό το email = this email
• και μετά = and then
• θα σας βοηθήσω = I will help you
• με τα έγγραφα = with the documents

So a very literal version is:

Let me finish this email and then I will help you with the documents.

The Greek word order is very natural and close to English here, though Greek is often more flexible than English.