tie down
tie down {v.}
To keep (someone) from going somewhere or doing something; prevent from leaving; keep in.
Mrs. Brown can't come to the party. She's tied down at home with the children sick.
The navy tied the enemy down with big gunfire while the marines landed on the beach.
I can't help you with history now! I'm tied down with these algebra problems.
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Source: A Dictionary of American Idioms