הניקוי היבש מתאים לבד העדין.

Because יבש is an adjective modifying ניקוי.

In Hebrew, when a noun is definite, its adjective is also definite:

• ניקוי יבש = dry cleaning / a dry cleaning process
• הניקוי היבש = the dry cleaning

So the ה־ appears on both words because the whole noun phrase is definite.

In Hebrew, adjectives usually come after the noun they describe.

So:

• ניקוי יבש = dry cleaning
• literally: cleaning dry

This is normal Hebrew word order for noun + adjective.

Because it agrees with the subject, הניקוי היבש, which is masculine singular.

מתאים is the masculine singular present-tense form of the verb להתאים / a participle meaning to suit, be suitable, fit.

Agreement examples:

• הניקוי היבש מתאים = the dry cleaning is suitable
• השיטה מתאימה = the method is suitable (feminine singular)
• הבגדים מתאימים = the clothes are suitable (masculine plural)

Because the verb/adjective מתאים usually goes with the preposition ל־, meaning suitable for or fits.

So:

• מתאים לבד = suitable for fabric
• מתאים לילדים = suitable for children
• מתאים לי = suits me

You would not normally use את after מתאים, because this is not treated as a direct object in Hebrew.

Here it means to the fabric / for the fabric.

This is a very common point of confusion, because לבד without vowels can represent different things:

• לְבַד = alone
• לַבַּד = to the fabric / for the fabric

In this sentence, the context makes it clear that it means for the fabric.

Because the sentence is referring to the delicate fabric, not just delicate fabric in a general indefinite sense.

Compare:

• בד עדין = delicate fabric / a delicate fabric
• הבד העדין = the delicate fabric

And again, because הבד is definite, the adjective must also be definite:

• הבד העדין not
• הבד עדין

For the same reason as ניקוי יבש: Hebrew adjectives normally come after the noun.

So:

• בד עדין = delicate fabric
• הבד העדין = the delicate fabric

Also, the adjective must match the noun in:

• gender
• number
• definiteness

Here both are masculine singular definite:

• הבד
• העדין

Often, the general expression is simply ניקוי יבש.

So:

• ניקוי יבש = dry cleaning, in general
• הניקוי היבש = the dry cleaning, a specific dry-cleaning treatment/process

That means this sentence can sound like it is talking about a specific kind of treatment already known from context. If you mean the idea of dry cleaning in general, ניקוי יבש מתאים לבד העדין may sound more neutral.

A natural pronunciation is:

ha-ni-KU-ee ha-ya-VESH mat-EEM la-BAD ha-a-DEEN

A few notes:

• ניקוי = ni-KU-ee
• יבש = ya-VESH
• מתאים = mat-EEM
• העדין begins with ha-
  • a-, so you may hear a slight break: ha-a-deen

Yes, but the given order is the most neutral and standard:

הניקוי היבש מתאים לבד העדין.

This is basically:

• subject: הניקוי היבש
• predicate: מתאים
• complement: לבד העדין

Other word orders are possible for emphasis, but they sound more marked. For a learner, the given version is the best model to use.