Learn Turkish: Zaten evdeyim, şekerleme yapıyorum ve gevşiyorum. - I am at home anyway, I am taking a nap and relaxing.

While zaten can translate to "already", here it acts as a discourse marker justifying a situation, meaning "anyway" or "as a matter of fact." It sets up an inherent state (evdeyim) that naturally leads to the following actions: "I'm at home anyway, so I'm napping and relaxing."

Doesn't şekerleme mean "candy" or "sweets"? Why is it used for sleeping here?

It does! However, şekerleme yapmak is a very common Turkish idiom that means "to take a nap" or "to snooze." You can think of a short daytime sleep as a little "sweet" treat.

The dictionary form of "to relax" is gevşemek. Why is the vowel different in gevşiyorum?

This is due to a phonological rule called vowel narrowing. When you add the present continuous suffix -yor to a verb ending in a wide vowel (-a or -e), that vowel narrows. Here, the -e in gevşe- narrows to an -i to harmonize with the suffix, becoming gevşiyor.

Since "I" is the subject for the whole sentence, could we drop the -m / -um personal suffixes on the first two parts and only put it at the very end?