They were not offered a chance to prove themselves. Doyoung wishes to leave his and Taeyong's house and when Taeyong most needed Doyoung, he was abandoned by the man who makes him strong; his home. When Doyoung said, "I'm trying, Taeyong," it was raining at the time. "I know it's excruciatingly painful, but I tried." The older didn't expect the younger to say it, so he acted tough and responded, "As long as it makes you happy." as he stood there watching Doyoung leave their house
What is Doyoung's reason? Did he put forth any effort? or has he grown tired of thinking no one is trying?