Solve the following quadratic equation using the quadratic formula. Separate multiple answers with a comma if necessary \[ y^{2}-2=7 y \]

Step 1 ：The given equation is a quadratic equation. The general form of a quadratic equation is \(ax^2 + bx + c = 0\). The quadratic formula to solve for x is given by \(x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}\).

Step 2 ：In the given equation, \(y^2 - 2 = 7y\), we can rewrite it in the form of a quadratic equation as \(y^2 - 7y - 2 = 0\). Here, a = 1, b = -7, and c = -2.

Step 3 ：We can substitute these values into the quadratic formula to find the solutions for y.

Step 4 ：Substituting a = 1, b = -7, c = -2 into the quadratic formula, we get D = 57, y1 = 7.274917217635375, y2 = -0.2749172176353749.

Step 5 ：Final Answer: The solutions to the quadratic equation are \(y = 7.274917217635375\) and \(y = -0.2749172176353749\). So, the final answer is \(\boxed{7.274917217635375, -0.2749172176353749}\).