to support someone in a competition or difficult situation
誰かを競争や困難な状況で応援する (dareka o kyousou ya konnan na joukyou de ouen suru)
"We’re all rooting for you to succeed in your exam."
"私たちは皆、あなたが試験に合格することを応援しています。" (watashitachi wa mina anata ga shiken ni goukaku suru koto o ouen shiteimasu)
to not give up believing that things will get better
to make progress or succeed in a particular area
to move on foot beside something for some distance
to admit that you did something wrong
to resist unfair treatment or oppression
to be scheduled for discussion or decision; to be considered