I managed to complete the project.

간신히 프로젝트를 끝냈습니다. (manage : 시련을 극복하여 간신히 해냈다는 뜻으로 그 동안의 고생과 노력을 강조 / complete : 단순히 일을 수행 혹은 완료했음을 의미)

• I was somehow able to manage the project.
• I completed the project by all possible means.
• With much effort, I completed the project successfully.
• I brought the project to successful completion.
• I completed the project on time.