ליד הבית יש כביש רחב, אבל הרחוב הקטן מאחורי הבית שקט יותר.

יש means there is / there are. Hebrew often uses it to introduce the existence of something.

So:

• ליד הבית יש כביש רחב = Near the house there is a wide road

This is different from simply saying הכביש רחב, which means the road is wide.
With יש, the sentence is presenting the road as something that exists in that location.

Hebrew is flexible with word order, especially in sentences with יש.

Both of these are natural:

• ליד הבית יש כביש רחב
• יש כביש רחב ליד הבית

Starting with ליד הבית puts the location first, as the topic: Near the house...
This is very common in Hebrew.

Both can relate to streets or roads, but they are not exactly the same.

• כביש = road, often a roadway for cars, sometimes bigger or more traffic-oriented
• רחוב = street, usually more like a named street or a smaller urban street

So in this sentence:

• כביש רחב = a wide road
• הרחוב הקטן = the small street

The contrast sounds natural: a bigger road near the house, but a smaller street behind it.

הבית means the house. The prefix ה־ is the Hebrew definite article, equivalent to the.

So:

• בית = a house / house
• הבית = the house

In this sentence, the house is specific, so Hebrew uses הבית in both places:

• ליד הבית = next to the house
• מאחורי הבית = behind the house

Because this phrase means the small street, not a small street.

In Hebrew, if the noun is definite, the adjective must also be definite.

So:

• רחוב קטן = a small street
• הרחוב הקטן = the small street

This is called definite agreement. Hebrew repeats the definiteness on the adjective too.

In Hebrew, adjectives normally come after the noun they describe.

Examples:

• כביש רחב = a wide road
• רחוב קטן = a small street
• בית גדול = a big house

This is one of the most important differences from English, where adjectives usually come before the noun.

They are all agreeing with masculine singular nouns.

The nouns here are:

• כביש — masculine singular
• רחוב — masculine singular

So the adjectives also appear in masculine singular form:

• רחב = wide
• קטן = small
• שקט = quiet

If the noun were feminine, the adjective would usually change:

• דרך רחבה = a wide road/path
• רחוב? No, רחוב is masculine, so רחב is correct here.

יותר means more and is used to form the comparative, like more quiet = quieter.

So:

• שקט = quiet
• שקט יותר = quieter / more quiet

Hebrew usually forms comparisons with:

adjective + יותר

Examples:

• גדול יותר = bigger
• מהיר יותר = faster
• שקט יותר = quieter

So הרחוב הקטן... שקט יותר means the small street... is quieter.

In this sentence, the comparison is left implicit.

שקט יותר just means quieter or more quiet, and the listener understands it as quieter than the road mentioned earlier.

If Hebrew wants to say than explicitly, it often uses מ־ attached to the thing being compared:

• הרחוב הקטן שקט יותר מהכביש הרחב
  = The small street is quieter than the wide road

But in your sentence, Hebrew simply says quieter, and the comparison is understood from context.

They function like prepositions of place.

• ליד = next to / near / by
• מאחורי = behind

So:

• ליד הבית = near the house
• מאחורי הבית = behind the house

These are very common location words in Hebrew.

מאחורי is the normal prepositional form meaning behind when followed by a noun.

So:

• מאחורי הבית = behind the house

You can think of מאחורי as the form used before a following object.

Related forms exist in Hebrew, but for learners, the important pattern is:

• מאחורי הבית
• מאחורי הדלת
• מאחוריי = behind me

So in this sentence, מאחורי הבית is exactly the expected form.

In present-tense Hebrew, the verb to be is usually omitted.

So Hebrew says:

• הרחוב הקטן שקט יותר

Literally: the small street quieter

But in natural English, we translate it as:

• the small street is quieter

This is a very important Hebrew pattern:

• הבית גדול = the house is big
• הילד עייף = the boy is tired
• הרחוב שקט = the street is quiet

No present-tense is/are is normally written or spoken.

Yes, אבל is the standard word for but in everyday Hebrew.

In this sentence it connects two contrasting ideas:

• there is a wide road near the house,
• but the small street behind the house is quieter.

So אבל works just like English but here.

The first part, יש כביש רחב, introduces a wide road, not the wide road.

That is because כביש has no ה־:

• כביש רחב = a wide road
• הכביש הרחב = the wide road

So the sentence first introduces a road near the house, and then refers to a specific street behind the house: הרחוב הקטן.

Yes. שקט can refer to literal lack of noise, but it can also suggest calmness or peacefulness depending on context.

So שקט יותר could be understood as:

• quieter
• calmer
• more peaceful

In this sentence, because it contrasts a wide road with a small street, quieter is the most natural reading.