GOD'S WORD® Translation
I'm not talking about your conscience but the other person's conscience. Why should my freedom be judged by someone else's conscience?

American Standard Version
conscience, I say, not thine own, but the other's; for why is my liberty judged by another conscience?

Berean Study Bible
the other one’s conscience, I mean, not your own. For why should my freedom be determined by someone else’s conscience?

Douay-Rheims Bible
Conscience, I say, not thy own, but the other's. For why is my liberty judged by another man's conscience ?

English Revised Version
conscience, I say, not thine own, but the other's; for why is my liberty judged by another conscience?

King James Bible
Conscience, I say, not thine own, but of the other: for why is my liberty judged of another man's conscience?

World English Bible
Conscience, I say, not your own, but the other's conscience. For why is my liberty judged by another conscience?

Young's Literal Translation
and conscience, I say, not of thyself, but of the other, for why is it that my liberty is judged by another's conscience?

1 Corinthians 10:29 Additional Translations ...