Consider the following quadratic equation:
\[
y^{2}-6=3 y
\]
Step 1 of 2: Find the values of $a, b$, and $c$ that should be used in the quadratic formula to determine the solution of the quadratic equation.

Step 1 ：Consider the following quadratic equation: \(y^{2}-6=3 y\)

Step 2 ：Step 1 of 2: Find the values of a, b, and c that should be used in the quadratic formula to determine the solution of the quadratic equation. The quadratic formula is used to solve equations of the form \(ax^2 + bx + c = 0\). In this case, we need to rearrange the given equation into this form. The given equation is \(y^2 - 6 = 3y\). If we subtract \(3y\) from both sides, we get \(y^2 - 3y - 6 = 0\). Now we can see that \(a = 1\), \(b = -3\), and \(c = -6\).

Step 3 ：Final Answer: The values of a, b, and c that should be used in the quadratic formula to determine the solution of the quadratic equation are \(a = 1\), \(b = -3\), and \(c = -6\). So, \(a = \boxed{1}\), \(b = \boxed{-3}\), and \(c = \boxed{-6}\).