Punkteringen blev repareret på værkstedet i går.

Punkteringen is the definite form of the noun, meaning the puncture / the flat tire rather than a puncture / a flat tire.

In Danish, definiteness is often added as an ending:

• en punktering = a puncture
• punkteringen = the puncture

So the sentence is talking about a specific puncture that both speaker and listener already know about.

In everyday Danish, punktering usually refers to a flat tire or a puncture in a tire.

So even though the word literally points to the puncture itself, in context it often stands for the whole problem with the tire. That is very natural in Danish.

Blev repareret is a passive construction in the past tense.

It is made from:

• blev = past tense of blive = became / got / was
• repareret = repaired

Together, blev repareret means was repaired.

This is used when the focus is on what happened to something, not on who did it.

So:

• Mekanikeren reparerede punkteringen. = The mechanic repaired the puncture.
• Punkteringen blev repareret. = The puncture was repaired.

This is an important difference.

• blev repareret = was repaired
  This focuses on the event or action.
• var repareret = was repaired / had been repaired in the sense of already in a repaired state
  This focuses more on the resulting condition.

So in your sentence, blev repareret is the natural choice because it tells us that the repair happened yesterday.

Compare:

• Punkteringen blev repareret i går.
  The repair took place yesterday.

• Punkteringen var repareret, da jeg kom.
  The puncture was already repaired when I arrived.

In this passive construction, the past participle repareret stays the same.

Danish past participles often do not change for number or gender in this kind of blive-passive structure:

• Dækket blev repareret.
• Bilene blev repareret.

That is different from some other adjective-like uses where agreement can appear, but here repareret is just the normal form after blev.

With places like værksted (workshop / garage / repair shop), Danish often uses på where English might use at.

So:

• på værkstedet = at the workshop / at the garage

Using i værkstedet would sound more like inside the workshop building/room, with emphasis on physical location inside it.

In this sentence, på værkstedet is the normal choice because it means the repair happened at the garage/workshop as a place or service location.

Værksted is a neuter noun in Danish: et værksted.

The definite form of many neuter nouns adds -et:

• et værksted = a workshop
• værkstedet = the workshop

So the ending tells you both that the noun is definite and that its base form is a neuter noun.

Putting i går (yesterday) at the end is very natural in Danish. It often comes late in the sentence after the main information.

So this order is completely normal:

• Punkteringen blev repareret på værkstedet i går.

But Danish word order is somewhat flexible, and you can move i går for emphasis:

• I går blev punkteringen repareret på værkstedet.

That version puts more focus on yesterday.

Yes. Danish often moves a time expression to the front when you want to emphasize it:

• I går blev punkteringen repareret på værkstedet.

When something other than the subject comes first in a Danish main clause, the finite verb still stays in second position. That is why you get:

• I går
  • blev
    • punkteringen ...

This is the usual Danish V2 word order pattern.

Because the passive is being used to leave the agent unstated.

In other words, the sentence cares about the fact that the puncture got repaired, not about who did the repair. This is very common in Danish, just as in English.

If you wanted to mention the agent, Danish would more naturally switch to an active sentence, for example:

• Mekanikeren reparerede punkteringen på værkstedet i går.

The passive version sounds more neutral and impersonal.

No, not really.

• på værkstedet = at the workshop / at the garage
• hos værkstedet is generally not the normal phrasing here

Hos is often used with people, businesses, or service providers in the sense of with / at someone’s place, for example:

• hos lægen = at the doctor’s
• hos mekanikeren = at the mechanic’s

So you could say:

• Punkteringen blev repareret hos mekanikeren i går.

But with værkstedet, på værkstedet is the idiomatic choice.