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) ± sqrt((-981)^2 - 49(-990)) ] / 18

Y = [ 981 ± sqrt(961809 + 35640) ] / 18

Y = [ 981 ± sqrt(997449) ] / 18

Y = [ 981 ± 999.22 ] / 18

Y = [1980.22 or -18.22 ] / 18

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