Algebra Level 4

$\large (x-100)^4+(x-102)^4+30(x-100)^2(x-102)^2$ If $$x$$ is a real number larger than 101, then find the minimum value of the expression above.

Let this value be denoted as $$y$$, submit your answer as $$y$$ plus the value of $$x$$ at this minimum value.