Leaverbuster

Well I am officially tilted. I was recently playing in a ranked game as Udyr Jungle with a Volibear and an Ezreal on my team that were very very rude and toxic. The first 5-10 mins of the game were fine and the score was 2-6, we were winning. Our Ahri had 4 kills, and Ezreal has 2 along with assists from our Darius top, and our Volibear support. Now around 12 minutes into the game, I heard gagging coming from upstairs in my house, so I went upstairs, and my dog was throwing up. He ended up throwing up 4 times, and it took me 15 minutes to get him situated and make him feel better. When I got back to my league game, my whole team was flaming me for leaving the game. They said that I should have let me dog die, and focus on the game because apparently all of the people on my team were in their Silver 1 promos. We ended up losing the game, and on the ending screen I got a leaverbuster. This is my first leaverbuster ban ever and apparently your first ban is supposed to be 5 minutes throughout 5 games, but no. My ban was 20 minutes throughout 5 games. Me, already having a full plate of things to do in real life cannot cope with this ban, and unfortunately won't be able to handle this 20 minute ban. I might be able to get a few games in, but not many. Has anyone else had this problem before? I really wanted to get this off my chest.. so yeah.