Step 1 :The given expression is a quadratic equation: \(5 y^{2}+5 y-100\).
Step 2 :The first step to factorize this equation is to factor out the common factor, which is 5 in this case: \(5(y^{2}+y-20)\).
Step 3 :After factoring out the common factor, we can then factorize the quadratic equation: \(5(y - 4)(y + 5)\).
Step 4 :The factored form of the given expression is \(\boxed{5(y - 4)(y + 5)}\).