Teyzemle eniştem bugün yeni açılan küçük çiftliği gezmekten çok memnun kaldı.

In this sentence, Teyzemle eniştem means my aunt and my uncle.

Here is the breakdown:

• teyze = aunt
• teyzem = my aunt
• teyzemle = with my aunt / my aunt and
• eniştem = my uncle by marriage

In Turkish, -le / -la normally means with, but it is also often used like and in everyday language when joining two nouns.

So:

• teyzemle eniştem = my aunt and my uncle

This is very natural Turkish.

Good question. In Turkish, third-person plural agreement is often optional when the subject is already clearly plural.

So both of these can work:

• Teyzemle eniştem ... memnun kaldı.
• Teyzemle eniştem ... memnun kaldılar.

The singular kaldı is very common and natural.

Turkish often does this with plural subjects:

• Çocuklar geldi. = The children came.
• Çocuklar geldiler. = also possible

Using the plural verb can sound a bit more explicit or emphatic, but the singular is completely normal.

No, it is different.

Turkish has several different words for uncle, depending on the relationship:

• amca = father’s brother
• dayı = mother’s brother
• enişte = uncle by marriage, such as your aunt’s husband or your sister’s husband

So eniştem means my uncle by marriage.

In this sentence, teyzemle eniştem most likely means my maternal aunt and her husband.

Yeni açılan is a participle phrase, and it means newly opened or that has recently opened.

Breakdown:

• açılmak = to be opened / to open (intransitive or passive-like sense)
• açılan = opening / that opened / that is opened
• yeni açılan = newly opened / recently opened

So:

• yeni açılan küçük çiftlik = the small farm that recently opened

This is a very common Turkish structure. Turkish often uses participles where English might use a relative clause.

Examples:

• Dün gelen adam = the man who came yesterday
• Yeni açılan kafe = the café that has just opened

Because it is the definite direct object of gezmek.

• çiftlik = farm
• çiftliği = the farm / the specific farm (accusative form)

In Turkish, a specific direct object usually takes the accusative ending.

Here, they visited a particular farm, not just any farm, so Turkish uses the accusative:

• küçük çiftliği gezmek = to visit the small farm

The ending changes because of sound rules:

• çiftlik + -(y)i becomes çiftliği

The final k changes to ğ before a vowel, which is very common in Turkish.

Gezmekten comes from:

• gezmek = to visit / to walk around / to tour
• gezmekten = from visiting / about having visited

The reason for -ten is that the expression memnun kalmak often takes an ablative form (-den / -dan / -ten / -tan) for the thing someone is pleased about.

So:

• gezmekten memnun kalmak = to be pleased about visiting / to enjoy visiting

This may feel unusual to an English speaker, because English does not use from here. But in Turkish this is the normal pattern.

Other similar examples:

• Sizinle tanışmaktan memnun oldum. = I was pleased to meet you.
• Yardım etmekten memnuniyet duyarım. = I would be pleased to help.

Naturally, memnun kaldı means:

• was very pleased
• was satisfied
• ended up happy with it

Breakdown:

• memnun = pleased, satisfied
• kalmak = to remain, stay

But together, memnun kalmak is an idiomatic expression meaning to be pleased/satisfied with something.

So çok memnun kaldı means:

• was very pleased
• was very satisfied

It does not need to be translated literally as remained pleased in normal English.

Yes, bugün can move around. Turkish word order is flexible.

In this sentence:

• Teyzemle eniştem bugün yeni açılan küçük çiftliği gezmekten çok memnun kaldı.

bugün = today

Its current position is very natural. But Turkish could also say:

• Bugün teyzemle eniştem yeni açılan küçük çiftliği gezmekten çok memnun kaldı.
• Teyzemle eniştem yeni açılan küçük çiftliği gezmekten bugün çok memnun kaldı.
  This is less neutral, but possible in a special context.

Turkish word order often changes for emphasis, topic, or style. The most neutral information usually comes before the verb, and the verb often stays at the end.

A helpful breakdown is:

• Teyzemle eniştem = my aunt and my uncle
• bugün = today
• yeni açılan küçük çiftliği = the newly opened small farm
• gezmekten = from visiting / about visiting
• çok memnun kaldı = were very pleased

A more literal structure would be:

My aunt and my uncle today, from visiting the newly opened small farm, were very pleased.

Natural English would say something like:

My aunt and uncle were very pleased to visit the newly opened small farm today.

So the core pattern is:

[subject] + [time] + [object] + [verbal noun in ablative] + [memnun kalmak]

Yes, gezmek has a range of meanings, including:

• to stroll
• to wander around
• to go around
• to tour
• to visit

With places, it often means to look around / tour / visit.

So here:

• çiftliği gezmek = to tour the farm / to look around the farm / to visit the farm

A very close English translation would be to visit the small farm, but to tour the small farm is also possible depending on context.

Usually, in this context, it means the small farm that has recently opened or the newly opened small farm.

The participle açılan can sometimes be broader in meaning depending on context, but with yeni, the most natural reading is recently opened.

So learners should understand:

• yeni açılan = newly opened / just opened

rather than something like currently opening.

Here are some natural alternatives:

• Teyzemle eniştem bugün yeni açılan küçük çiftliği gezdikleri için çok memnun kaldı.
  = My aunt and uncle were very pleased because they visited the newly opened small farm today.

• Teyzemle eniştem bugün yeni açılan küçük çiftliği gezmekten çok memnun kaldılar.
  Same meaning, but with plural verb agreement.

• Teyzemle eniştem bugün yeni açılan küçük çiftliği gezdi ve çok memnun kaldı.
  = My aunt and uncle visited the newly opened small farm today and were very pleased.

The original sentence is already natural and idiomatic. These alternatives just make certain parts more explicit.