Find all the antiderivatives for the following function. \[ f(y)=-\frac{2}{y^{3}} \] The antiderivatives of $f(y)=-\frac{2}{y^{3}}$ are $F(y)=$

Step 1 ：We are given the function \(f(y)=-\frac{2}{y^{3}}\) and we are asked to find all its antiderivatives.

Step 2 ：The antiderivative of a function is the function whose derivative is the given function. In this case, we need to find the function whose derivative is \(-\frac{2}{y^{3}}\).

Step 3 ：We can use the power rule for integration, which states that the integral of \(x^n\) is \(\frac{1}{n+1}x^{n+1}\), where \(n\) is any real number except -1. However, in this case, the exponent of \(y\) is -3, so we can directly apply the power rule.

Step 4 ：Applying the power rule, we get the antiderivative as \(y^{-2}\).

Step 5 ：However, we need to remember that the antiderivative is only determined up to a constant. Therefore, the most general antiderivative of \(-\frac{2}{y^{3}}\) is \(y^{-2} + C\), where \(C\) is any constant.

Step 6 ：Final Answer: The antiderivatives of \(f(y)=-\frac{2}{y^{3}}\) are \(F(y)=\boxed{y^{-2} + C}\), where \(C\) is any constant.