You can't suppress your emotions.
They pop up anytime they want and you can't do anything about them.
But you have the power to look at them and try to understand them, you also have the power to ignore them, that is you seeing them, but you ignore them as if they are not there.
Now the stressful and troubled life comes when you have negative emotions, and you default to wanting them to go away or wanting to analyse them. The more you do this the stronger the emotions become, and you even become more troubled and mood less.
This is the number one source of unhappy life: clinging to negative emotions.
Now if you want to have a happy life when experiencing negative emotions, you have to ask yourself what is the cause of these negative emotions?
It's always from things which even if we cry or tell our mom, nothing is going to change, things which we have no influence over how they should be.
If you can't do anything about it, the answer is simple: forget it and focus on those you have authority over.
So, what about the negative emotions?
Well, they will always be there and will fade when they feel like it. For now, the only favour you can do to yourself is to just ignore them, and of course as you can't do anything about the thing causing them.