Solve the equation $\frac{y-2}{3} = y$ for $y$.

1. Problem Description

Solve the equation $\frac{y-2}{3} = y$ for $y$.

2. Solution Steps

To solve the equation $\frac{y-2}{3} = y$, we first multiply both sides of the equation by 3 to eliminate the fraction:

$3 \cdot \frac{y-2}{3} = 3 \cdot y$

$y - 2 = 3y$

Next, we want to isolate $y$. We can subtract $y$ from both sides of the equation:

$y - 2 - y = 3y - y$

$-2 = 2y$

Now, we divide both sides by 2 to solve for $y$:

$\frac{-2}{2} = \frac{2y}{2}$

$-1 = y$

Therefore, $y = -1$.

3. Final Answer

$y = -1$