Каждый член клуба может голосовать.

Каждый means each / every, so it focuses on members one by one.

• Каждый член клуба может голосовать = each member of the club can vote.
• Все члены клуба могут голосовать = all the club members can vote.

Both can be natural, but каждый + singular noun is the standard way to say each/every member.

Because it agrees with член, and член is a masculine noun.

In Russian, words like каждый change to match the noun’s:

• gender
• number
• case

So you get:

• каждый член — masculine
• каждая книга — feminine
• каждое письмо — neuter

Here, член is masculine, so каждый must also be masculine.

Because каждый normally goes with a singular noun in Russian.

So Russian says:

• каждый член = each member

not:

• каждые члены ✘

Even though the idea refers to many people, the grammar is singular because Russian treats each member as an individual item.

For the same reason: the grammatical subject is каждый член, which is singular.

So the verb must also be singular:

• Каждый член клуба может... — correct
• Все члены клуба могут... — also correct, but now the subject is plural

This is very similar to English Each member can vote, where member is singular.

Because клуба is in the genitive case, and Russian often uses this pattern to mean of the club.

So:

• член клуба = member of the club

This is a very common structure:

• директор школы = director of the school
• дверь дома = door of the house
• центр города = center of the city

The basic noun is клуб, but after another noun to show belonging or relationship, it becomes клуба.

It can mean either can in the sense of is able to or is allowed to, depending on context.

In this sentence, the most natural interpretation is often permission/right:

• each club member is allowed to vote
• each club member has the right to vote

But grammatically, может itself can cover both ideas. Context tells you which one is intended.

After мочь, Russian often uses the imperfective infinitive when talking about a general ability, permission, or possibility.

So:

• может голосовать = can vote / is allowed to vote

This sounds natural when stating a rule or general fact.

Проголосовать is perfective and would emphasize casting a vote as a completed action. It could appear in some contexts, but here голосовать is the normal choice for a general statement.

A rough contrast:

• Он может голосовать — he can vote / is eligible to vote
• Он может проголосовать завтра — he can cast his vote tomorrow

Yes. Russian word order is flexible, though the original order is neutral and natural.

Neutral:

• Каждый член клуба может голосовать.

Possible variations:

• Голосовать может каждый член клуба.
• Каждый член клуба голосовать может. (more marked/emphatic)

Changing the order usually changes emphasis, not the core meaning.

For example:

• Голосовать может каждый член клуба puts extra focus on who is allowed to vote.

Yes, член is the normal formal word for member in contexts like clubs, committees, parties, and organizations:

• член клуба — club member
• член партии — party member
• член комиссии — member of a commission

It is a standard word in this kind of sentence.

The stress is:

• ка́ждый
• член
• клу́ба
• мо́жет
• голосова́ть

So a helpful pronunciation guide is:

• KAZH-dyy chlen KLOO-ba MO-zhet ga-la-sa-VAT'

A few notes:

• ж sounds like the s in measure
• ч sounds like ch
• the final -ть in голосовать is soft

Yes, but the meaning changes.

• Член клуба может голосовать means A club member can vote or The club member can vote, depending on context.
• Каждый член клуба может голосовать clearly means every/each club member can vote.

So каждый is important if you want the meaning every single member.