To solve this equation, we will first simplify both sides of the equation.

Starting with the left side:

6/$y-1$ + 2 = y

We can simplify this by first combining the fractions on the left side:

$6+2(y-1)$/$y-1$ = y

Now, simplify further:

$6+2y-2$/$y-1$ = y
$2y+4$/$y-1$ = y

Moving on to the right side of the equation:

y - $2y+4/(1-y)$

Simplify the expression by distributing the negative sign:

y - 2y - 4 / $1-y$

Combine like terms:

-y - 4 / $1-y$

Now, we have:

$2y+4$ / $y-1$ = y
-y - 4 / $1-y$ = y

Now, let's solve this equation:

$2y+4$ / $y-1$ = y

Cross multiply:

2y + 4 = y$y-1$ 2y + 4 = y^2 - y

Rearrange to standard form:

y^2 - 3y - 4 = 0

Now let's solve the quadratic equation for y by factoring or using the quadratic formula.