In the context of the sentence you provided, equity refers to the value of ownership interest that a person or entity holds in a real property (such as a house or building) after any outstanding debts or mortgages are subtracted. If the sentence states that "equity in any other real property shall be subject to liquidation," it means that if there is any equity in a property besides the property in question, that equity may need to be sold or otherwise converted to cash in order to satisfy outstanding debts or obligations related to the property in question. Essentially, any available assets (including equity in other properties) may be used to pay off any debts or liabilities related to the property in question.

We can translate it to ارزش ویژه, which is essentially ارزش ملک پس از کسر مبلغ رهن و سایر بدهی‌های مربوطه:

https://abadis.ir/entofa/equity/

(روش ارزش ویژه)
https://fa.wikipedia.org/wiki/روش_ارزش_ویژه

https://modiremali.com/dictionary/ارزش-ویژه/#:~:text=ارزش وی...

ارزش ویژه برابر است با ارزش دارایی هایی که یک شخص یا شرکت مالک آن هاست منهای بدهی هایی که دارند. این معیار، برای اندازه گیری وضعیت سلامت مالی بسیار مهم است، به طوری که یک دید روشن از وضعیت مالی فعلی شرکت یا شخص در اختیار شما قرار می دهد.