Сканер стоїть біля вікна, і я можу сканувати сторінки вдома.

Yes. Стоїть literally means is standing, but in Ukrainian it is very commonly used for the location of objects, especially things that are upright or placed somewhere in a stable position.

So Сканер стоїть біля вікна is very natural and means The scanner is by the window.

A few related location verbs are common in Ukrainian:

• стояти = to stand
• лежати = to lie
• висіти = to hang
• бути = to be

For objects, Ukrainian often prefers a more specific verb like стояти instead of just бути.

Absolutely. Ukrainian often uses стояти for inanimate things if they are positioned upright or simply placed somewhere.

Examples:

• Комп’ютер стоїть на столі. = The computer is on the desk.
• Лампа стоїть біля ліжка. = The lamp is by the bed.

So using стоїть with сканер sounds normal.

Because біля requires the genitive case.

The noun вікно is nominative singular, but after біля it changes to genitive singular:

• nominative: вікно
• genitive: вікна

So:

• біля вікна = near/by the window

This is a very common pattern. Other prepositions that often require the genitive include:

• без = without
• для = for
• від = from
• до = to, up to
• біля = near

All of them can mean something like near / by / beside, but there are slight differences:

• біля = near, by
  Very common and neutral.
• коло = near, by
  Also common, sometimes a bit more conversational or regional depending on context.
• поруч із = next to, beside
  Often suggests closer physical adjacency.

So in this sentence:

• Сканер стоїть біля вікна = The scanner is by the window.
• Сканер стоїть поруч із вікном would sound more like right next to the window.

Note that поруч із takes the instrumental case, so:

• із вікном not
• вікна

Because this sentence joins two separate clauses:

• Сканер стоїть біля вікна
• я можу сканувати сторінки вдома

Each part could stand as its own sentence, so Ukrainian normally uses a comma before і when it connects two independent clauses.

So:

• Сканер стоїть біля вікна, і я можу сканувати сторінки вдома.

This is similar to English:

• The scanner is by the window, and I can scan pages at home.

Yes, it could be omitted.

Ukrainian often drops subject pronouns when the verb already makes the subject clear. Since можу clearly means I can, you could say:

• Сканер стоїть біля вікна, і можу сканувати сторінки вдома.

That said, я is still perfectly natural. It may be included for:

• clarity
• emphasis
• contrast
• a slightly fuller, more explicit style

So both versions are possible.

Можу сканувати means I can scan.

This structure is:

• можу = I can
• сканувати = to scan

So the infinitive comes after можу, just like in English:

• I can scan

If you said я сканую сторінки вдома, that would mean:

• I scan pages at home or
• I am scanning pages at home depending on context

So можу сканувати expresses ability or possibility, not just the action itself.

After modal verbs like могти (can / be able to), Ukrainian uses the infinitive of the main verb.

So:

• можу читати = I can read
• можу писати = I can write
• можу сканувати = I can scan

This is very similar to English, where can is followed by the base form:

• can read
• can write
• can scan

Because the sentence expresses a general ability, not a single completed result.

In Ukrainian, aspect matters:

• сканувати = imperfective
  focuses on the process or repeated/general action
• a perfective form would focus more on completing a scan

After можу, the imperfective is often the natural choice when you mean:

• I am able to do this kind of action
• I can do it in general
• I can scan pages whenever needed

So можу сканувати сторінки вдома means:

• I can scan pages at home in a general sense.

Here сторінки is the accusative plural, because it is the direct object of сканувати.

You are scanning pages, so pages is the thing being acted on.

For inanimate plural nouns in Ukrainian, the accusative plural is often the same as the nominative plural. That is exactly what happens here:

• nominative plural: сторінки
• accusative plural: сторінки

So the form looks the same, but its function in the sentence is accusative.

Not in this sentence as written.

After сканувати, the normal direct object is in the accusative:

• сканувати сторінки

The form сторінок is genitive plural and would appear in other contexts, for example:

• багато сторінок = many pages
• немає сторінок = there are no pages

So here the correct form is сторінки.

Вдома means at home in the general everyday sense. It is the most natural word here.

• вдома = at home
• у домі = in the house/building

So:

• я можу сканувати сторінки вдома = I can scan pages at home

If you used у домі, it would sound more specifically physical:

• inside the house/building

In many everyday situations, вдома is exactly the word you want.

Both are heard, but вдома is generally the safer standard choice for learners.

• вдома = standard, neutral, widely accepted
• дома = also common in speech, but can sound more colloquial

So if you are learning standard Ukrainian, use:

• вдома

Ukrainian word order is fairly flexible, but different orders change emphasis.

The given sentence is neutral and natural:

• Сканер стоїть біля вікна, і я можу сканувати сторінки вдома.

Possible variations include:

• Біля вікна стоїть сканер, і я можу сканувати сторінки вдома.
  Emphasizes the location first.

• Сканер біля вікна стоїть, і я можу сканувати сторінки вдома.
  More marked, less neutral.

• Сканер стоїть біля вікна, і вдома я можу сканувати сторінки.
  Emphasizes at home.

For learners, the original order is a very good default.

A useful rough guide to stress is:

• ска́нер
• стої́ть
• бі́ля
• вікна́
• можу́
• сканува́ти
• сторі́нки
• вдома́

A few pronunciation notes for English speakers:

• і sounds like ee in see
• и is a different vowel from і; it is shorter and more central
• г in Ukrainian is usually not a hard English g
• в can sound softer than English v depending on position

If you say the sentence slowly with the correct stress, it will already sound much more natural.