אני שמח שאנחנו בבית ביחד.

In Hebrew, the verb to be is usually left out in the present tense.

So:

• אני שמח = I am happy
• אנחנו בבית = we are at home

This is completely normal Hebrew.
In the past or future, Hebrew does use forms of to be, for example:

• היינו בבית = we were at home
• נהיה בבית = we will be at home

Because שמח has to agree with the speaker’s gender.

• שמח = masculine singular
• שמחה = feminine singular

So:

• a male speaker says אני שמח
• a female speaker says אני שמחה

Since the subject is אני and refers to one person, the adjective is singular.

שאנחנו is made from:

• ש־ = that
• אנחנו = we

So שאנחנו means that we.

This is very common in Hebrew. The little word ש־ often attaches directly to the next word, so it is written as one unit.

Because the sentence has two parts:

1. אני שמח = I am happy
2. שאנחנו בבית ביחד = that we are at home together

The first subject is אני (I), and the second subject is אנחנו (we).

So the sentence is not repeating the same subject. It is saying:

• I am happy
• that we are at home together

בבית contains the preposition ב־, which means in / at.

The base noun is בית = house / home.

In this sentence, בבית means at home or literally in the house.

Also, Hebrew often absorbs the word the after short prepositions like ב־, ל־, and כ־. So learners will often hear this pronounced like ba-báyit, not just be-bayit.

Here it most naturally means at home.

Hebrew often uses בבית where English would prefer at home rather than in the house.

So although the literal image is in the house, the natural meaning in this sentence is the ordinary idea of being at home.

ביחד means together.

Yes, יחד also means together, and the two are often interchangeable in everyday Hebrew.

• ביחד is very common in speech
• יחד is also common and may feel slightly shorter or a little more neutral depending on context

In this sentence, ביחד sounds completely natural.

Hebrew often puts adverbs like ביחד near the end, especially when they describe the whole situation.

So:

• אנחנו בבית ביחד

sounds natural as we are at home together.

You can sometimes move words around in Hebrew, but that usually changes the emphasis. For example:

• אנחנו ביחד בבית puts a bit more focus on together

The original order is a very normal, neutral choice.

A useful pronunciation guide is:

ani sa-ME-aḥ she-a-NAḥ-nu ba-BA-yit be-YA-ḥad

A few notes:

• שמח = sameaḥ
  The ḥ sound is the Hebrew letter ח, a throaty sound like the ch in Scottish loch or German Bach.
• שאנחנו = she-anáḥnu
• בבית here is usually pronounced babáyit
• ביחד = beyaḥad

You might hear כי in some contexts, but in this sentence ש־ is the most natural choice.

So:

• אני שמח שאנחנו בבית ביחד = natural
• אני שמח כי אנחנו בבית ביחד = understandable, but less natural here for many speakers

Why? Because ש־ is very commonly used to introduce a clause after feelings, thoughts, and statements, like I’m happy that..., I think that..., and so on.

It is a natural everyday sentence.

Nothing in it is unusually formal or literary:

• אני שמח is very common
• שאנחנו is standard and natural
• בבית is ordinary everyday Hebrew
• ביחד is common in speech

So this is a sentence a learner could realistically hear or say in normal conversation.