shift something onto something

We'd shift them onto less important work, but if we do they'll know we've found out.

Often, the only step left is shifting much of that onto the Internet.

The women looked at the doctor, shifting the responsibility onto him.

He put his foot down and shifted a little weight onto it.

We will not be able to shift this burden onto private business.

Either way, the overhead costs have been shifted onto patients and their families.

To my surprise, being shifted onto a board actually did make me feel worse.

She felt the mattress move as he shifted onto his side.

Others are being sold, so I agree with those who say we must not shift the whole responsibility onto the developing world.

If so, a lot of weight has just shifted onto them.