May magasin at pahayagan.

Here, may means something like there is or there are. It introduces the existence or presence of something.

A very common pattern in Filipino is:

may + noun

So:

May magasin at pahayagan.
= There is a magazine and a newspaper. / There are a magazine and a newspaper.

Because Filipino does not always need a separate verb equivalent to English is/are.

In this sentence, may already does the job of expressing existence, so the sentence is complete without another verb.

English needs: There is a magazine and a newspaper.

Filipino can simply say: May magasin at pahayagan.

Yes, in Filipino, magasin usually means magazine as in a printed periodical.

This can confuse English speakers because in some other languages a similar-looking word means store or shop. In Filipino, a store/shop is more commonly tindahan.

So in this sentence, magasin should be understood as magazine, not store.

Pahayagan most commonly means newspaper.

Depending on context, it can sometimes have a broader sense connected to the press or publications, but for a basic learner, newspaper is the best meaning to remember here.

So the two nouns are:

• magasin = magazine
• pahayagan = newspaper

Yes. At is the standard Filipino word for and.

In this sentence, it simply joins the two nouns:

• magasin at pahayagan = magazine and newspaper

You may also hear other connectors in conversation, such as tsaka or saka, but at is the basic and very common written form.

Filipino does not use articles in the same way English does.

After may, nouns are often left in a bare form, without anything corresponding directly to a/an. So:

May magasin at pahayagan.

naturally expresses the idea of a magazine and a newspaper without needing separate words for a.

Whether something is definite or indefinite is often understood from context.

Because ang is not normally used in this kind of may + noun structure.

After may, the noun usually appears directly:

• May tubig. = There is water.
• May libro. = There is a book.
• May magasin at pahayagan.

If you used ang, you would be making a different kind of sentence, not the same simple existential pattern.

So for this sentence, may + noun(s) is the expected structure.

By default, it sounds like one magazine and one newspaper.

That is because the nouns appear without mga, the usual plural marker.

If you wanted to make the plural clearer, you could say something like:

May mga magasin at mga pahayagan.
= There are magazines and newspapers.

In the original sentence, the most natural reading is singular: one of each.

Not by itself, not usually.

On its own, May magasin at pahayagan. is most naturally understood as an existential sentence: There is/there are a magazine and a newspaper.

If you want to say that a person has them, you would normally mention the possessor, for example:

May magasin at pahayagan siya.
= He/She has a magazine and a newspaper.

So may can be associated with possession in some sentences, but in your example, with no possessor stated, the basic reading is there is/there are.

Yes, that would still be grammatical.

Changing the order would not usually change the basic meaning very much. It would just mention the newspaper first instead of the magazine.

So both are possible:

• May magasin at pahayagan.
• May pahayagan at magasin.

The original sentence is just one natural way to list the two items.

They are closely related.

• may is very common before a noun
• mayroon is a fuller form
• meron is a common spoken form of mayroon

So these are all possible in similar situations:

• May magasin at pahayagan.
• Mayroong magasin at pahayagan.
• Merong magasin at pahayagan.

For a simple sentence directly followed by nouns, may is the most straightforward form to learn first.