Pazara gidince taze çilek almadan edemiyorum.

Because gitmek (to go) normally takes the dative case for the destination.

• pazar = market / bazaar
• pazara = to the market

So:

• Pazara gitmek = to go to the market
• Compare:
  • eve gitmek = to go home
  • okula gitmek = to go to school

The -a / -e ending here shows movement toward a place.

Because pazar can mean either market or Sunday, and context tells you which one is meant.

Here, taze çilek almadan edemiyorum clearly suggests shopping, so pazar means market.

A few clues:

• pazara gitmek is a very common phrase meaning to go to the market
• If someone meant Sunday, they would often say something like:
  • Pazar günü = on Sunday
  • Pazarları = on Sundays

So in this sentence, pazara is naturally understood as to the market.

Gidince means something like when (I) go, once (I) go, or whenever (I) go, depending on context.

It comes from:

• gitmek = to go
• stem before a vowel-initial suffix: gid-
• -ince / -ınca = a suffix meaning when / once

So:

• gitmek → gidince = when one goes

This -ince form is often used to make a time clause:

• eve gelince = when I come home / when he comes home
• seni görünce = when I see you

In your sentence:

• Pazara gidince = when I go to the market

In this sentence, it is best understood as whenever or when in a habitual sense.

Why? Because the main verb is edemiyorum, which suggests a repeated personal tendency:

• Pazara gidince... = Whenever I go to the market...
• not just one single occasion

So the full sense is:

• Whenever I go to the market, I can’t help buying fresh strawberries.

If this were about one specific event, context would usually make that clearer.

Because Turkish often leaves out subject pronouns when the verb ending already shows the person.

Here, edemiyorum ends in -um, which tells you the subject is I.

Breakdown:

• ede- = do
• -miyor- = not able / not doing in the present continuous pattern here
• -um = I

So edemiyorum means I can’t / I am unable to

That is why Turkish does not need ben here.
You could say Ben pazara gidince..., but it is usually unnecessary unless you want emphasis.

Because Turkish often uses the bare singular noun where English would naturally use a plural.

So:

• çilek literally = strawberry
• but in context it can mean strawberries as a general food item or an indefinite amount

This is very natural with things people buy, eat, or use in unspecified quantity.

So:

• taze çilek almak = to buy fresh strawberries

If you said taze çilekler, it would sound more like you are talking about specific strawberries or emphasizing them as individual items.

Because this is an indefinite, non-specific direct object.

In Turkish:

• bare object = indefinite / non-specific
• accusative-marked object = specific / definite

So:

• taze çilek almak = to buy fresh strawberries / some fresh strawberries
• taze çileği almak = to buy the fresh strawberries / a specific fresh strawberry already known in context

In this sentence, the meaning is general and habitual, so the bare form çilek is exactly what you would expect.

Literally, it is built from:

• almak = to buy
• almadan = without buying
• edemiyorum = I can’t do / I can’t manage

But together, -madan edememek is a very common Turkish pattern meaning:

• can’t help doing
• can’t refrain from doing
• can’t resist doing

So:

• almadan edemiyorum = I can’t help buying (it/them)

A very literal translation like I can’t do without buying helps show the structure, but the natural English meaning is:

• I can’t help buying fresh strawberries

This is one of those places where Turkish structure does not match English word-for-word.

You see:

• -madan = without doing
• edemiyorum = I cannot

So yes, there are two negative-looking elements. But together they form the idiomatic pattern:

• V-madan edememek = to be unable not to do V
• more natural English: can’t help V-ing

So the logic is roughly:

• I can’t leave it at not buying
• I can’t manage without buying
• therefore: I can’t help buying

It is not a simple double negative that cancels out. It is a fixed expression with its own meaning.

Because alamıyorum means something very different.

• alamıyorum = I can’t buy / I’m unable to buy
  • maybe I have no money
  • maybe it’s unavailable
  • maybe I’m not allowed

But your sentence does not mean inability to buy. It means the opposite idea: buying is so tempting that I cannot resist it.

So:

• alamıyorum = I can’t buy
• almadan edemiyorum = I can’t help buying

That is a very important difference.

Because the Turkish present continuous often does more than describe an action happening at this exact moment. It can also express:

• a current tendency
• a repeated personal habit
• an ongoing characteristic of someone’s behavior

So edemiyorum here means something like:

• I just can’t help it
• I always end up doing it
• it’s what happens when I go

That is why it sounds natural in a habitual sentence like this.

A shorter form like edemem can also mean I can’t, but edemiyorum often feels more immediate and natural for this kind of personal recurring experience.