Geçen hafta yan komşunun mutfağında küçük bir yangın çıktı, neyse ki kısa sürede söndürüldü.

Because yan komşunun is in the genitive case, marked by -(n)in / -(n)ın / -(n)un / -(n)ün.

• yan komşu = the next-door neighbor / side neighbor
• yan komşunun = the next-door neighbor’s

It is followed by a possessed noun:

• yan komşunun mutfağı = the next-door neighbor’s kitchen

This is the normal Turkish possessor + possessed structure.

Mutfağında contains several pieces:

• mutfak = kitchen
• mutfağı = his/her kitchen
• mutfağında = in his/her kitchen

The structure is:

• mutfak
  • -ı (3rd person possessive) + -nda (locative after a possessed noun)

So:

• yan komşunun mutfağında = in the next-door neighbor’s kitchen

Also notice the sound change:

• mutfak → mutfağ-

This happens because final k often softens to ğ before a vowel.

Because Turkish usually marks possession on both words in this pattern:

• komşunun = of the neighbor
• mutfağı = his/her kitchen

So Turkish says something like:

• neighbor-of kitchen-his/hers

This double marking is completely normal in Turkish:

• adamın arabası = the man’s car
• evin kapısı = the house’s door
• yan komşunun mutfağı = the next-door neighbor’s kitchen

Then -nda adds the meaning in:

• yan komşunun mutfağında

Yan komşu literally means something like side neighbor, and in natural English it usually means the neighbor next door.

• yan = side
• komşu = neighbor

It refers to the person living right next to you.

In Turkish, adjectives normally come before the noun, and bir often comes after the adjective in this kind of phrase:

• küçük bir yangın = a small fire

This is the most natural order.

Compare:

• büyük bir ev = a big house
• uzun bir yol = a long road
• küçük bir yangın = a small fire

Saying bir küçük yangın is usually not the normal neutral phrasing here.

Literally, çıkmak means to go out / come out / emerge, but with events like fire, trouble, war, or noise, it often means to break out / occur.

So:

• yangın çıktı = a fire broke out

This is a very common Turkish expression. Similar patterns are:

• kavga çıktı = a fight broke out
• sorun çıktı = a problem came up
• yangın çıktı = a fire broke out

So even though çıkmak has a basic literal meaning like come out, here it is idiomatic.

Turkish does not have a word exactly like English the.

Definiteness is often understood from context, possession, or word structure. In this sentence, yan komşunun naturally means the next-door neighbor’s, not just a neighbor’s, because the context makes it specific.

So Turkish often leaves this unstated where English would use the.

Neyse ki means fortunately, luckily, or thank goodness depending on context.

In this sentence, it softens the situation and shows relief:

• neyse ki kısa sürede söndürüldü
• fortunately, it was extinguished in a short time

It is a common conversational expression.

You may also see similar words such as:

• neyse = anyway / well / never mind
• iyi ki = good thing that / fortunately

But here neyse ki has the sense of luckily / thankfully.

Here -de is the locative ending, but with time expressions it can mean something like in, within, or during.

• kısa süre = short time / short period
• kısa sürede = in a short time / within a short time

So the sentence means the fire was extinguished quickly, within a short period.

This use is common:

• iki günde bitti = it finished in two days
• kısa sürede öğrendi = he/she learned it in a short time

Söndürüldü comes from söndürmek, which means to extinguish.

Breakdown:

• söndür- = extinguish
• -ül- = passive
• -dü = past tense

So:

• söndürüldü = it was extinguished

This is a passive past form.

The passive is used because the sentence focuses on the fire and the result, not on who put it out.

The difference is important:

• söndü = it went out / it was extinguished by itself
• söndürüldü = it was extinguished by someone/something

A fire can:

• söndü if it dies out on its own
• söndürüldü if people or firefighters put it out

In this sentence, söndürüldü suggests intervention.

Turkish often omits subjects when they are already understood from context.

After küçük bir yangın çıktı, the next clause naturally refers to that same fire:

• neyse ki kısa sürede söndürüldü
• fortunately, [it] was extinguished quickly

The pronoun o is not necessary because the reference is clear.

This is very normal in Turkish.

Because Turkish is generally an SOV language, and verbs usually come at the end of the clause.

So the sentence is structured like this:

• Geçen hafta = last week
• yan komşunun mutfağında = in the next-door neighbor’s kitchen
• küçük bir yangın = a small fire
• çıktı = broke out

And then:

• neyse ki = fortunately
• kısa sürede = in a short time
• söndürüldü = was extinguished

This end-of-clause verb position is one of the most important word-order habits in Turkish.

Geçen hafta means last week.

• geçen here means the previous / the one that passed
• hafta = week

It is a very common and natural way to say last week.

You can also hear:

• geçtiğimiz hafta

This is also correct and often a bit more formal or fuller in style. In everyday speech, geçen hafta is extremely common.

Yes, it is very natural.

It sounds like a normal way to describe a recent event:

• first, what happened: a small fire broke out
• then, the reassuring result: fortunately it was put out quickly

The phrase neyse ki gives it a conversational, relieved tone. The whole sentence sounds like ordinary spoken or written Turkish, such as in conversation, a message, or a simple news-style statement.