Я зберіг упаковку, пломбу й ярлик.

Зберіг is the past tense form, so the sentence means that the action has already been completed: I kept / I saved / I preserved.

A quick comparison:

• я зберігаю = I keep / I am keeping
• я зберігав = I was keeping / I used to keep / I kept (more process-oriented, imperfective)
• я зберіг = I kept / I saved (completed action, perfective)

So зберіг tells you the speaker did in fact retain those items.

Yes. In the past tense, Ukrainian verbs agree with the subject in gender and number.

Here are the singular forms of зберегти in the past:

• я зберіг — if the speaker is male
• я зберегла — if the speaker is female
• воно зберегло — neuter
• вони зберегли — plural

So Я зберіг... suggests that the speaker is male.
A female speaker would normally say:

• Я зберегла упаковку, пломбу й ярлик.

The dictionary form is зберегти.

That is the infinitive, meaning to keep, to preserve, to save, depending on context.

Useful related forms:

• зберегти — perfective, to save / to keep as a completed action
• зберігати — imperfective, to keep / to be keeping / to preserve

This pair is a good example of Ukrainian verbal aspect.

Because they are direct objects, so they are in the accusative case.

The verb зберіг acts on these things: the speaker kept what?

• упаковку
• пломбу
• ярлик

For many feminine nouns ending in -а, the accusative singular changes like this:

• упаковка → упаковку
• пломба → пломбу

That -а → -у change is very common for feminine nouns in the singular accusative.

Because ярлик is a masculine inanimate noun, and in Ukrainian the accusative singular of masculine inanimate nouns is usually the same as the nominative singular.

So:

• nominative: ярлик
• accusative: ярлик

Compare that with feminine nouns:

• nominative: упаковка
• accusative: упаковку

This is why two nouns change form and one does not.

Й and і both mean and.

In many cases, Ukrainian chooses between them for ease of pronunciation and smoother sound. After a word ending in a consonant, й often sounds more natural before another consonant-initial word.

Here:

• пломбу й ярлик

This helps the phrase flow smoothly.

In many situations, і would also be understood, but й is often preferred stylistically or phonetically. So this is not a big meaning difference; it is mostly about natural sound.

Yes, it could:

• Я зберіг упаковку, пломбу та ярлик.

Та can also mean and in Ukrainian. In lists, it often sounds slightly more formal or simply offers another natural connector.

So all of these are possible, depending on style and euphony:

• ...пломбу й ярлик
• ...пломбу і ярлик
• ...пломбу та ярлик

The choice usually does not change the meaning.

Their meanings can vary slightly by context:

• упаковка = packaging, package, or box/wrapper
• пломба = often seal (for example, a security or factory seal), though in other contexts it can also mean a dental filling
• ярлик = label, tag, or sometimes sticker/tag attached to a product

In this sentence, the most natural reading is something like:

• I kept the packaging, the seal, and the label/tag.

So it sounds like someone kept all the product-related materials.

Because Ukrainian does not have articles like the or a/an.

English says:

• the packaging
• a label

Ukrainian usually expresses definiteness from context, word choice, or sentence situation rather than with a separate article.

So:

• Я зберіг упаковку, пломбу й ярлик.

can mean something like:

• I kept the packaging, the seal, and the label.

The listener understands which ones are meant from the context.

Ukrainian word order is fairly flexible, although the neutral order here is very natural:

• Я зберіг упаковку, пломбу й ярлик.

You could rearrange it for emphasis, for example:

• Упаковку, пломбу й ярлик я зберіг.

This puts extra focus on the things that were kept.

Or:

• Я упаковку, пломбу й ярлик зберіг.

This is also possible, though it may sound more marked or emphatic depending on context.

So the original sentence is a normal, neutral way to say it.

A rough pronunciation guide:

• Я ≈ ya
• зберіг ≈ zbe-RIH
• упаковку ≈ u-pa-KOV-ku
• пломбу ≈ PLOM-bu
• й ≈ a short y sound, like the y in boy gliding into the next word
• ярлик ≈ yar-LYK

Approximate full pronunciation:

• ya zbe-RIH u-pa-KOV-ku, PLOM-bu y yar-LYK

The stress is important, especially in:

• зберіг
• упаковку
• ярлик

It can mean any of those depending on context, but here kept is probably the most natural English translation.

Why?

Because the objects are physical things:

• packaging
• seal
• label

So the sentence likely means the speaker retained them instead of throwing them away.

If the context were digital files, зберіг might be closer to saved.
If the context were food, documents, or historical items, it might be closer to preserved.

So this verb has a broad range, and context decides the best English choice.