The phrase "sake of the other" means doing something for the benefit or well-being of someone else, instead of just focusing on ourselves. It highlights the idea of putting someone else's needs or interests before our own. Full definition
As Thay remarked, «The monk who burns himself has lost neither courage nor hope... he believes in the fruition of his act of self - sacrifice for the sake of others. (hussmanfunds.com)
I mean, our whole Christian faith is based on the idea of a person that died for the sake of others — because he loved them. (nakedpastor.com)
I realize that I permitted those constraints for the sake of others. (nakedpastor.com)