namagomi no mizuke wo herasi, yuugaigomi to hunengomi wo bunbetusimasu.

A common reading would be:

• 生ごみ → なまごみ
• 水気 → みずけ
• 減し → へらし
• 有害ごみ → ゆうがいごみ
• 不燃ごみ → ふねんごみ
• 分別します → ぶんべつします

So the whole sentence would be read roughly as:

なまごみ の みずけ を へらし、ゆうがいごみ と ふねんごみ を ぶんべつします。

Here, の links two nouns.

• 生ごみ = food waste / kitchen waste
• 水気 = moisture / wetness

So 生ごみの水気 means the moisture in the food waste or the food waste’s moisture.

This is a very common pattern in Japanese:

• A の B = B of A / A’s B / B related to A

水気 does not just mean water. It means moisture, dampness, or water content.

So:

• 水 = water itself
• 水気 = the state of being wet / the moisture present

In a garbage-sorting context, 生ごみの水気を減らす means something like:

• reduce the moisture in food waste
• drain excess liquid from food waste

So 水気 is more natural than plain 水 here.

This form connects one action to the next:

• 生ごみの水気を減し、
• 有害ごみと不燃ごみを分別します。

So the sentence means:

• Reduce the moisture in food waste, and sort hazardous waste and non-burnable waste.

The first part leads into the second part.

Also, many learners notice that 減し looks a little unusual. That is a fair reaction. In modern everyday Japanese, many people would more often expect something like:

• 減らし
• or, even more naturally in this context, 水気を切り

So if 減し feels odd to you, that is understandable. But grammatically here, its job is to connect to the next action.

Because there are two separate verb phrases, and each one has its own direct object.

1. 生ごみの水気を減し

   • object: 生ごみの水気
   • verb: 減し

2. 有害ごみと不燃ごみを分別します

   • object: 有害ごみと不燃ごみ
   • verb: 分別します

So the two を particles are completely normal.

Here と means and. It joins the two nouns:

• 有害ごみ = hazardous waste
• 不燃ごみ = non-burnable waste

So:

有害ごみと不燃ごみ = hazardous waste and non-burnable waste

In context, the sentence is telling you to sort those categories properly.

In this kind of context, it usually means sort them properly into their categories.

So the idea is:

• hazardous waste should be put in the hazardous-waste category
• non-burnable waste should be put in the non-burnable-waste category

Japanese often leaves this a little implicit. In English, we might spell it out more directly.

分別します means sort, separate, or classify into categories.

In garbage-related Japanese, 分別する is a very common word. It sounds more specific and official than just 分ける.

• 分ける = divide / separate
• 分別する = sort according to rules or categories

So for trash instructions, 分別する is the natural choice.

Because Japanese often omits the subject when it is obvious from context.

In a notice or instruction about garbage, the implied subject could be:

• you
• residents
• we
• people in general

So the sentence does not need to say あなたは or 住民は. Japanese usually leaves that unstated.

します is the polite non-past form. In instructions, rules, and notices, Japanese often uses polite forms like this instead of strong command forms.

So this style sounds like:

• polite instruction
• official guidance
• standard notice language

A direct command such as 分別しなさい would sound much stronger and less natural for a public instruction sign.

Usually, no. Standard Japanese would normally be written without spaces:

生ごみの水気を減し、有害ごみと不燃ごみを分別します。

The spaces in your version are probably there just to make the sentence easier for learners to read.