4y^2-4y-4x+5=0

this is what i did:

4y^2-4y=4x-5

4y^2-4y=4x-5+4

4^2-4y+4=4x-5+4

4(y^2-2y+2)=4x-1

4(y-2)^2=4x-1

i don't really know how to move to the next step in order to get something like (y-k)^2=4p(x-h) or (x-h)^2=4p(y-k)

it doesn't make sense cause i have the 4 outside which seems like its part of the 4p but (y-2) is squared.... and i can't complete the square on the right side since no x^2 value, only x.