PS Pump Removal

[coop34]

Can the PS pump be removed without also removing the brackets on a 1970 chevy?

Here's what I did so maybe someone can tell me what I'm missing:

I removed three nuts that hold the pump to the brackets. One that fits through the slotted adjustment part of the bracket. One nut that fit in a slot in the back of the bracket. And one nut at the bottom front of the bracket. I also removed the belt from the pulley. The pump will rotate, but will not come out.

Any suggestions??