To get along well, manage successfully, or make a go of things (often in relationships, work, or life situations); to cope and adapt effectively.
新しい部署に配属されたが、先輩と協力してなんとかうまくやっていけそうだ。
I was assigned to a new department, but by cooperating with my seniors I think I can manage okay.
結婚してからは、二人で力を合わせてうまくやっていくことが大事だ。
After marriage, it's important for the two of you to work together and get along well.
不況の中でも仕事のやり方を工夫してうまくやっていく必要がある。
Even in a recession, it's necessary to find ways of working to get by successfully.