Question 1067958
Change variable x = (2 -y)^2

The equation becomes

x^2 - 3x - 1 = 0

whose solutions are 

{{{x = 3/2 +_ sqrt(13)/2}}}
{{{2 - y = +_ sqrt[(3 +_ sqrt(13))1/2]}}}

{{{y = 2 +_ sqrt[(3 +_ sqrt(13))1/2]}}}