Krownedpy chack Qrestion 6 Solve for \( y \). \[ -2 y+2=-7 y+17 \] Simplify your answer as much as possible. \[ y= \]

Let's solve the equation \[ -2y + 2 = -7y + 17 \] step by step. 1. **Add \(7y\) to both sides** to collect the \(y\)-terms on the left: \[ -2y + 7y + 2 = 17 \] Simplifying the left side, we have: \[ 5y + 2 = 17 \] 2. **Subtract \(2\) from both sides** to isolate the term with \(y\): \[ 5y = 17 - 2 \] Simplify the right side: \[ 5y = 15 \] 3. **Divide both sides by \(5\)** to solve for \(y\): \[ y = \frac{15}{5} \] Simplifying, we get: \[ y = 3 \] Thus, the solution is: \[ \boxed{y = 3} \]