If you are already married, 1Corinthians Chapter 7 has guidelines regarding being yoked with an unbeliever. Generally, in most cases, you are supposed to stay married. (Please refer to the chapter for details.)
But if you are unmarried and considering a lifetime partner or if you are married and considering a partner in business or other endeavor which will entail setting direction or decision, it is best to find a person who is thinking of the same direction as yourself. 2Cor 6:14 (NLT) says: 14 Don’t team up with those who are unbelievers. How can righteousness be a partner with wickedness? How can light live with darkness?
If you desire to honor God in your life and the other person does not, then you would be in a bind literally (if you are in a binding relationship). In the dictionary, the verb “yoke” is defined as “to force into heavy labor, bondage, or subjugation” and that is what will happen if you will be hindered from honoring God because the other person has the deciding vote or if you have 50% vote but are on opposing directions.
Amos 3:3 says “Do two walk together unless they have agreed to do so?” When there is more than one person involved, there is already a potential for conflict. Choose your partner(s) wisely. Ask God to reveal the character of your partner(s) before you enter a binding relationship. Don’t rush into getting yoked unless you are sure that you are equally committed to honoring God.