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human
ELI5: (not USA) How is it still democratic when different political parties "team up" after the election to get the votes necessary to rule?

If I vote for party x, and after the election party x and y team up to get more majority of the votes. However personally I do not agree with party y and party x has to change their promises etc to team with party y. To me this does not seem like democracy as the party I voted for doesn't stand for what it did when I voted. 

(Sorry for my bad english, this is not my native language.)
Edit: 1
I wrote a post that explains it better.
I understand that parties have to co-operate, but what I do not agree with is when a two parties that have many differences go together to get stronger and this makes the lesser party way more powerful than it should. Let's say we have Free Cars for All Party (FCAP) who gets 41% of the votes and a party called Everything for Nature (EN) gets 10%. EN wants to ban all cars in the city because of pollution etc. FCAP ideally doesn't want to do that, they love cars! But they compromises with eachother so that a party that gets 10% of the votes gets way more power than they should because FCAP depends on them to agreeing to get the majority of votes. In the end the FCAP might get cars to everyone but the voters of EN didn't want that. And EN might get some parts of the city car-free but FCAP voters doesn't want that. Therefore the majority doesnt want either free cars or a car free city but because the two parties compromises they both get what they want without the majority of the voters agreeing to these terms.

To me a party should work with what they got of the votes. Vote for all the things they agree with and vote against what they disagree with. Then the majority truly decides!

Edit: 2
Most of you seem to believe that what I mean is that a party that gets the most votes decides everything. What I actually mean is that there is no party/parties in power without over 50% of the votes. Parties can't compromise with eachother, so they will vote for bills they agree with. If over 50% of the parties votes goes in favor of a bill it get passed through. If only FCAP wants free cars, they don't get it because they only have 41% of the votes.
gpt
If the voters wanted x, they would have given x a majority. They voted for a balance between x and y. So x and y compromise and arrive at something that resembles the balance between x and y that voters asked for.