Step 1 :Factorize the numerator \(4-y^{2}\) as a difference of squares to get \((2-y)(2+y)\).
Step 2 :Factorize the denominator \(y^{2}-3 y-10\) as a quadratic expression to get \((y-5)(y+2)\).
Step 3 :Cancel out the common factors in the numerator and the denominator.
Step 4 :The simplified form of the given expression is \(\boxed{\frac{2-y}{y-5}}\)