Let's first simplify the equation by multiplying both sides by $y-1$:

Y$990$ - Y$9$$y-1$ = 990*$y-1$

990Y - 9Y$y$ + 9Y = 990y - 990

Distribute the Y on the left side:

990Y - 9Y^2 + 9Y = 990y - 990

Rearrange the terms:

9Y^2 - 990Y + 9Y - 990 = 0

Combine like terms:

9Y^2 - 981Y - 990 = 0

Now, this is a quadratic equation. To solve for Y, we can use the quadratic formula:

Y = $$-(-981)\pm sqrt((-981{)}^2-4<em>9</em>(-990))$$ / 18

Y = $$981\pm sqrt(961809+35640)$$ / 18

Y = $$981\pm sqrt(997449)$$ / 18

Y = $$981\pm 999.22$$ / 18

Y = $$1980.22or-18.22$$ / 18

Therefore, the solutions for Y are approximately Y = 110.01 or Y ≈ -1.01.