X+y/12x:2x+2y/6y*8/y.

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Let's simplify the expression step by step:

x + y/12
This can be simplified by finding a common denominator for the terms involving y
x + y/12x = (12x^2 + y)/(12x)

2x + 2y/6
This can be simplified by factoring out a 2 from the terms involving y
2x + 2y/6y = 2(x + y)/6y = (x + y)/3y

8/
This term is already simplified.

Putting it all together, the expression becomes
(12x^2 + y)/(12x) : (x + y)/3y * 8/y

Now, let's simplify the expression further:

(12x^2 + y)/(12x) : (x + y)/3y 8/
= [(12x^2 + y)/(12x)] / [(x + y)/3y 8/y
= [(12x^2 + y)/(12x)] / [(x + y)/3y] y/
= [(12x^2 + y)y/(12x)] / [(x + y)/3y] 1/
= [12x^2y + y^2)/(12x)] 3y/(x + y) 1/
= [y(12x^2 + y)]/(12x) 3y/(x + y) 1/
= [3y(12x^2 + y)]/(12x(x + y)) * 1/
= (36xy^2 + 3y^2)/(96x(x + y)
= (3y(12x + y))/(96x(x + y)
= (3y(12x + y))/(96x(x + y))

Therefore, the simplified expression is (3y(12x + y))/(96x(x + y))