Di rumah kami, sampah organik dipisahkan dari sampah anorganik supaya lebih mudah didaur ulang.

Because these are two different di words:

• di
  • place = a preposition meaning in / at / on
    
    • di rumah kami = at/in our house
• di-
  • verb = a passive prefix
    
    • dipisahkan = is separated
    • didaur ulang = is recycled

A good rule:

• If di is followed by a location, write it separately
• If di- is part of a verb, write it attached

So:

• di rumah ✔
• dipisahkan ✔

Kami means we/us/our, but it is exclusive: it does not include the listener.

So rumah kami means our house/home in the sense of the speaker’s household/home, not including the person being spoken to.

This is different from kita, which is inclusive and includes the listener.

• kami = we, not you
• kita = we, including you

In this sentence, rumah kami is natural because the speaker is talking about their own home.

In Indonesian, modifiers like adjectives usually come after the noun.

So:

• sampah organik = organic waste
• sampah anorganik = inorganic waste

This is a very common word order pattern:

• rumah besar = big house
• air panas = hot water
• buku baru = new book

So Indonesian normally goes noun + adjective, not adjective + noun like English often does.

Because the sentence is using the passive voice.

• memisahkan = to separate something
  
  • active: Kami memisahkan sampah organik... = We separate organic waste...
• dipisahkan = is separated
  
  • passive: Sampah organik dipisahkan... = Organic waste is separated...

Here, the sentence focuses on the waste, not on who does the action.

That is very common in Indonesian. Passive forms are often used when:

• the doer is unknown
• the doer is unimportant
• the focus is on the object/result

The suffix -kan often makes a verb more clearly transitive or causative, meaning it involves doing something to an object.

Here:

• pisah = separate / apart
• pisahkan = separate something
• dipisahkan = is separated

So dipisahkan is the passive form of memisahkan.

In this sentence, sampah organik is the thing being acted on, so dipisahkan is the right form.

Dari here means from.

The pattern is:

• memisahkan A dari B = to separate A from B
• A dipisahkan dari B = A is separated from B

So:

• sampah organik dipisahkan dari sampah anorganik = organic waste is separated from inorganic waste

This is the normal preposition to use after pisah / memisahkan / dipisahkan when you want to show what something is separated from.

Supaya introduces a purpose or intended result. It means:

• so that
• in order that

So:

• supaya lebih mudah didaur ulang = so that it is easier to recycle

A very similar word is agar. In most situations, supaya and agar can be used in the same way.

For example:

• supaya lebih mudah
• agar lebih mudah

Both are natural.

In Indonesian, lebih means more, and mudah means easy.

So:

• lebih mudah = more easy = easier

The comparison is often implicit. Indonesian does not always say exactly what it is easier than.

Here, the idea is:

• separating the waste makes recycling easier
  implicitly: easier than if the waste were mixed together

This kind of unstated comparison is very normal in Indonesian.

Because Indonesian often does not use a verb like to be in the present tense.

In English, you say:

• it is easier

In Indonesian, you can just say:

• lebih mudah

So the phrase literally looks more like:

• so that [it is] easier to recycle

The is is understood from the context.

This happens a lot in Indonesian:

• Rumah itu besar = That house is big
• Saya sibuk = I am busy
• Ini bagus = This is good

Because daur ulang is a compound expression meaning recycle / recycling.

When the passive prefix di- is added, it attaches to the first part:

• daur ulang
• didaur ulang

So:

• di- is attached to daur
• ulang stays separate because the whole expression is still a compound

This is different from di rumah, where di is a preposition meaning at/in.

So compare:

• di rumah = preposition + noun
• didaur ulang = passive prefix + compound verb

The comma is not always strictly necessary, but it is very natural here.

Di rumah kami is setting the scene: at our house / in our home. The comma helps show that this part is an introductory phrase before the main statement.

So the sentence with a comma feels like:

• At our house, ...

Without the comma, the sentence would still be understandable:

• Di rumah kami sampah organik dipisahkan dari sampah anorganik...

But the comma makes the structure clearer and more natural in writing.