x=1/(y-2)

y=-x+2.

Solve for y:
x = 1/(y-2)

x = 1/(y-2) is equivalent to 1/(y-2) = x:
1/(y-2) = x

Take the reciprocal of both sides:
y-2 = 1/x

Add 2 to both sides:
y = (2 x+1)/x

(2 x+1)/x  =  2+1/x:
Answer: |  y = 2+1/x