General Synonyms:
* Assist
* Aid
* Support
* Assist
* Facilitate
* Contribute
* Encourage
* Sustain
Formal Synonyms:
* Succor
* Relieve
* Alleviate
Informal Synonyms:
* Give a hand
* Lend a hand
* Pitch in
* Do a favor
* Come to the rescue
Synonyms related to specific situations:
* For someone struggling: Support, encourage, console, comfort
* For a task: Assist, facilitate, contribute
* For an emergency: Rescue, save, intervene
* For a cause: Support, champion, advocate
The best synonym to use will depend on the specific context of your sentence.