Nach dem Doppelpunkt schreibe ich die Beispiele in einer neuen Zeile, damit alles leichter zu lesen ist.

Because nach is a preposition that takes the dative case in this meaning (after).

• der Doppelpunkt = nominative
• den Doppelpunkt = accusative
• dem Doppelpunkt = dative

So:

• nach dem Doppelpunkt = after the colon

Also, Doppelpunkt is a masculine noun: der Doppelpunkt.

Literally, Doppelpunkt breaks down into:

• doppel = double
• Punkt = point / dot

So it literally means double dot, which is the German word for a colon: :.

German main clauses follow the V2 rule: the finite verb must be in the second position.

Here, the first position is occupied by the whole phrase:

• Nach dem Doppelpunkt

So the verb must come next:

• Nach dem Doppelpunkt schreibe ich ...

Even though ich is the subject, it comes after the verb because the first slot is already taken.

Compare:

• Ich schreibe die Beispiele ...
• Nach dem Doppelpunkt schreibe ich die Beispiele ...

Both are correct; the word order changes because German cares about the verb being in position 2.

Because die Beispiele is the direct object of schreibe.

The verb schreiben here means to write something, so the thing being written is in the accusative case.

• singular: das Beispiel
• plural: die Beispiele

Since this is plural, the nominative and accusative forms are both die Beispiele, so the form does not change.

Because in can take either the accusative or the dative, depending on meaning.

Here it expresses location (in a new line / on a new line), not movement into something, so German uses the dative:

• in einer neuen Zeile

Breakdown:

• die Zeile = the line
• dative singular → einer Zeile
• with adjective endings:
  • einer neuen Zeile

If it were about movement into something, you would use accusative instead.

Because damit introduces a subordinate clause, and in German subordinate clauses are separated from the main clause by a comma.

Main clause:

• Nach dem Doppelpunkt schreibe ich die Beispiele in einer neuen Zeile

Subordinate clause:

• damit alles leichter zu lesen ist

So the comma is required.

Here damit means so that and introduces a clause of purpose.

It explains why the speaker writes the examples on a new line:

• ..., damit alles leichter zu lesen ist.
• ..., so that everything is easier to read.

This is different from weil (because):

• damit = purpose / intended result
• weil = reason / cause

Because damit creates a subordinate clause, and in German subordinate clauses the conjugated verb usually goes to the end.

So instead of:

• alles ist leichter zu lesen

you get:

• damit alles leichter zu lesen ist

That final ist is completely normal for German subordinate clause word order.

Because alles is grammatically treated as singular.

So German says:

• alles ist ... = everything is ...

not:

• alles sind ...

Even though everything refers to many things in meaning, the grammar is singular.

This is a very common German pattern:

• leicht zu lesen = easy to read

Here:

• leicht = easy
• zu lesen = to read

In the sentence, it appears in the comparative:

• leichter zu lesen = easier to read

So:

• alles leichter zu lesen ist = everything is easier to read

This adjective + zu + infinitive structure is very useful in German. For example:

• schwer zu verstehen = hard to understand
• einfach zu machen = easy to do
• gut zu sehen = easy/good to see

Yes. Both are possible, but they are slightly different in tone.

• leichter zu lesen = easier to read
• besser zu lesen = better to read / more readable

In many contexts, leichter zu lesen sounds very natural when talking about formatting and readability, as in this sentence.

Because in German, all nouns are capitalized.

So in this sentence:

• Doppelpunkt
• Beispiele
• Zeile

are all capitalized because they are nouns.

This is one of the most noticeable differences from English spelling.