"वह घर आयेगी ।"

Translation: She will come home.

[Olivier216505]

Shouldn't it rather be आएगी? The pronunciation differs from अयेगी. Aye vs ae

[RanzoG]

The pronunciation is actually considered to be the same.
"Standardized" Hindi spelling uses the Y in this case, but when the same formation occurs in other languages similar to Hindi, or when spelled by Hindi writers who are not totally familiar with the so-called standard, they may use आएगी. There is no such distinction when Hindi is spelled in Arabic alphabet.

[dxrsam]

In fact both spellings are considered equally correct.

[Subin_27]

"Vah" can mean "he" or "she"

[Ellen147987]

But आयेगी indicates the subject is female

[itsmeyash31]

Yes. But the verb conjugation tells you whether it's a female or a male in the context.

वह can mean all of these following:

1. he
2. she
3. it
4. that

Hindi actually doesn't have true 3rd person pronouns. So, we use the word for "this/that" (यह/वह), "these/those" (ये/वे) to refer to people also. They actually only mean "this/that/these/those". It's the English translation that forces us to translate it as "he/she/they".