See, here's the thing about that--if you've agreed to put an issue to a vote, then you pretty much have to agree to the outcome of that vote. That's how voting works, whether it's a vote at a family meeting (which is why my wife and I don't put important issues to a vote), a club meeting, a PTA meeting, or a legislative session. Once the vote is taken and counted, you have to abide by the vote, even if you don't agree with the way the vote went.
Of course, sometimes a majority can vote for something that isn't merely unpleasant to the minority but actually infringes on their rights, and then there's a bit of a problem. That's why we (in the USA) have a Constitution that guarantees equal protection, and empowers the courts to nullify laws that violate people's rights, even if the law has the support of the majority. But that might be outside the scope of your question?