Το μανίκι της μπλούζας μου λερώνεται εύκολα όταν μαγειρεύω.

Μανίκι is a neuter singular noun, so it takes the neuter singular article το in the nominative.

• το μανίκι = the sleeve
• gender: neuter
• number: singular

Here it is the subject of the verb λερώνεται, so the nominative form is used.

This is the Greek way to say of my blouse.

• η μπλούζα = the blouse
• της μπλούζας = of the blouse (genitive singular)
• της μπλούζας μου = of my blouse

So the full phrase:

Το μανίκι της μπλούζας μου
literally means
the sleeve of my blouse

Greek often expresses this kind of relationship with the genitive, where English might use of or an apostrophe.

In Greek, unstressed possessive words like μου, σου, του, της, μας usually come after the noun they belong to.

So:

• η μπλούζα μου = my blouse
• το σπίτι μου = my house

That is the normal pattern. So της μπλούζας μου is perfectly natural Greek.

In this sentence, μου naturally goes with μπλούζας:

• το μανίκι της μπλούζας μου = the sleeve of my blouse

In practice, the whole phrase means that the sleeve belongs to your blouse, so English still understands the possession as connected to the whole item of clothing.

If you said το μανίκι μου, that would mean my sleeve, which could sound less specific.

Because λερώνεται means gets dirty / becomes dirty / is dirtied, which fits the sentence.

Compare:

• λερώνω κάτι = I dirty something
• λερώνεται = it gets dirty / it becomes dirty

So here:

• Το μανίκι λερώνεται = the sleeve gets dirty

This is a very common use of the Greek middle/passive form for something that happens to the subject.

Λερώνεται is present tense, 3rd person singular, middle/passive form.

The present is used here because the sentence describes a habitual or general situation, not just one specific moment:

• It gets dirty easily when I cook
• meaning: this is something that tends to happen

Greek uses the present tense for these general truths and repeated actions, just like English often does.

Because εύκολα is an adverb, and it modifies the verb λερώνεται.

• εύκολος / εύκολη / εύκολο = easy (adjective)
• εύκολα = easily (adverb)

So:

• λερώνεται εύκολα = gets dirty easily

English does the same thing:

• easy = adjective
• easily = adverb

Because this means when/whenever I cook in a habitual sense.

• όταν μαγειρεύω = when I cook / whenever I cook

This describes something that happens repeatedly.

A useful contrast:

• όταν μαγειρεύω = when I cook, whenever I am cooking in general
• όταν μαγειρέψω = when I cook, in a future one-time sense

So in your sentence, the present is used because it is talking about a repeated pattern.

Because Greek usually does not need subject pronouns when the verb ending already shows the person.

• μαγειρεύω = I cook

The ending -ω already tells you it is I.

Greek adds εγώ only if there is special emphasis or contrast:

• Εγώ μαγειρεύω, όχι αυτός. = I’m cooking, not him.

Without emphasis, leaving the pronoun out is the normal choice.

Not completely. Greek word order is more flexible than English, although the version you have is very natural and neutral:

Το μανίκι της μπλούζας μου λερώνεται εύκολα όταν μαγειρεύω.

You could move some parts for emphasis, for example:

• Το μανίκι της μπλούζας μου εύκολα λερώνεται όταν μαγειρεύω.
• Όταν μαγειρεύω, το μανίκι της μπλούζας μου λερώνεται εύκολα.

But the original order sounds the most straightforward and natural for ordinary speech.

Yes. If you want to talk about both sleeves, you would use the plural:

• Τα μανίκια της μπλούζας μου λερώνονται εύκολα.
• The sleeves of my blouse get dirty easily.

The singular το μανίκι suggests one sleeve in particular, perhaps the one that usually gets stained while cooking.

Μπλούζα is a general word for a blouse, top, or shirt-like upper garment, depending on context.

So in this sentence, it refers to the piece of clothing whose sleeve gets dirty.

It does not have to be a very formal blouse in the English sense every time; in everyday Greek, μπλούζα can be fairly broad.