אחרי הוויכוח הם מצאו פשרה שהייתה טובה להם.

אחרי means after. It is a preposition, so אחרי הוויכוח means after the argument or after the debate.

Starting the sentence with this time phrase is very natural in Hebrew, just like in English:

• אחרי הוויכוח הם מצאו...
• After the argument, they found...

You could move that phrase later in some contexts, but putting it first is completely normal.

הוויכוח means the argument, the dispute, or the debate, depending on context.

It breaks down like this:

• ויכוח = argument, debate
• ה־ = the

So:

• ויכוח = an argument / a debate
• הוויכוח = the argument / the debate

The spelling with two ו letters is standard modern Hebrew spelling for this word.

הם מצאו means they found.

Here is the breakdown:

• הם = they for a masculine or mixed group
• מצאו = found in the past tense, third person plural

The verb is from the root מ־צ־א, which is the root for finding.

Some related forms:

• אני מצאתי = I found
• הוא מצא = he found
• היא מצאה = she found
• הם מצאו = they found

So הם מצאו פשרה is simply they found a compromise.

Because פשרה here is indefinite: a compromise, not the compromise.

In Hebrew, את is normally used before a definite direct object. For example:

• הם מצאו פשרה = they found a compromise
• הם מצאו את הפשרה = they found the compromise

Since the sentence uses פשרה without ה־, it is indefinite, so את is not used.

פשרה means compromise, and yes, it is a feminine singular noun.

That matters because words connected to it must agree with it in gender and number. That is why later in the sentence you get:

• שהייתה and not שהיה
• טובה and not טוב

Both of those are feminine singular to match פשרה.

The ש is a relative particle. It often means that, which, or who, depending on context.

So:

• פשרה שהייתה טובה להם

means:

• a compromise that was good for them

You can think of ש־ as connecting the noun פשרה to extra information about it.

A very literal breakdown would be:

• פשרה = a compromise
• ש־ = that
• הייתה טובה להם = was good for them

In Hebrew, it is very common to use ש directly before the verb in a relative clause, without an extra pronoun.

So:

• פשרה שהייתה טובה להם

is the normal way to say:

• a compromise that was good for them

Hebrew usually does not need an extra word corresponding to English it here.

Using שהיא הייתה would usually sound unnecessary or marked in a simple sentence like this.

Because it refers back to פשרה, and פשרה is feminine singular.

So Hebrew agreement works like this:

• פשרה = feminine singular
• הייתה = was in feminine singular
• טובה = good in feminine singular

If the noun were masculine singular, you would expect:

• שהיה טוב...

If it were feminine plural, you would expect:

• שהיו טובות...

Agreement is one of the most important things to notice in Hebrew sentences.

For the same reason: פשרה is feminine singular.

The adjective טוב changes to match the noun:

• טוב = masculine singular
• טובה = feminine singular
• טובים = masculine plural
• טובות = feminine plural

Since the sentence talks about פשרה:

• פשרה טובה = a good compromise

And in the full sentence:

• פשרה שהייתה טובה להם = a compromise that was good for them

להם means to them or for them, depending on context.

Here it is best understood as for them:

• טובה להם = good for them

The word is made from:

• ל־ = to / for
• הם = them

Hebrew often uses ל־ with adjectives like טוב:

• טוב לי = good for me
• טוב לך = good for you
• טוב להם = good for them

So even though English says good for them, Hebrew literally uses something like good to them, but the meaning is the same.

In Hebrew, the present tense usually does not use a separate word for to be.

For example:

• הפשרה טובה להם = the compromise is good for them

There is no separate present-tense word for is.

But in the past tense, Hebrew does use forms of היה:

• הפשרה הייתה טובה להם = the compromise was good for them

So in this sentence, הייתה is necessary because the clause is in the past.

Yes. A simpler version would be:

• אחרי הוויכוח הם מצאו פשרה טובה להם

But that version can sound a little less natural to some speakers, and טובה להם may feel slightly less smooth than the relative-clause version.

The actual sentence:

• אחרי הוויכוח הם מצאו פשרה שהייתה טובה להם

clearly says:

• they found a compromise
• and that compromise was good for them

The relative clause makes the sentence a bit more explicit and natural.

A common pronunciation would be roughly:

acharei ha-vikuach hem matz'u psharah she-haytah tovah lahem

A few notes:

• אחרי = acharei
• הוויכוח = ha-vikuach
• מצאו = matz'u
• פשרה = psharah
• שהייתה = she-haytah
• להם = lahem

The stress is usually:

• achaREI
• ha-vikuACH
• matzU
• pshaRA
• ha-yta
• toVA
• laHEM

It can be either, depending on context.

ויכוח often refers to a verbal disagreement. So it can mean:

• argument
• dispute
• debate

If the context is emotional or personal, argument may fit best. If the context is formal or intellectual, debate may fit better.

In this sentence, since they later found a compromise, argument or dispute is probably the most natural feel.