he following equation. Express your answer as an integer, simplified fraction, or decimal rounded to \[ -2=7 y-2 \]

To solve the equation \(-2 = 7y - 2\), we first add 2 to both sides: \[ -2 + 2 = 7y - 2 + 2 \implies 0 = 7y \] Next, we divide both sides by 7: \[ y = \frac{0}{7} \implies y = 0 \] So, the solution is \(y = 0\). Now, let’s add some fun facts! Did you know that equations like this are a big part of algebra? They help us understand relationships between different quantities. The concept of balancing an equation (keeping both sides equal) is similar to balancing a scale—if you add weight to one side, you must add the same to the other! Another interesting bit is that this kind of equation, a linear equation, can represent many real-world situations, like calculating speed or determining prices. For example, if you were trying to figure out how much money you need to save each month to reach a goal, the same principles apply!