Find the value of \( y \) so that the ordered pair \( (-1, y) \) is the solution to the system: \( \left\{\begin{array}{l}-2 x+5 y=7 \\ 2 x+9 y=7\end{array}\right. \) Write your answer as a single number, without any letters or symbols. For example: -6

Solve the system of equations \( -2x+5y=7;2x+9y=7 \). Solve the system of equations by following steps: - step0: Solve using the substitution method: \(\left\{ \begin{array}{l}-2x+5y=7\\2x+9y=7\end{array}\right.\) - step1: Solve the equation: \(\left\{ \begin{array}{l}x=\frac{-7+5y}{2}\\2x+9y=7\end{array}\right.\) - step2: Substitute the value of \(x:\) \(2\times \frac{-7+5y}{2}+9y=7\) - step3: Simplify: \(-7+14y=7\) - step4: Move the constant to the right side: \(14y=7+7\) - step5: Add the numbers: \(14y=14\) - step6: Divide both sides: \(\frac{14y}{14}=\frac{14}{14}\) - step7: Divide the numbers: \(y=1\) - step8: Substitute the value of \(y:\) \(x=\frac{-7+5\times 1}{2}\) - step9: Substitute back: \(x=\frac{-7+5}{2}\) - step10: Calculate: \(x=-1\) - step11: Calculate: \(\left\{ \begin{array}{l}x=-1\\y=1\end{array}\right.\) - step12: Check the solution: \(\left\{ \begin{array}{l}x=-1\\y=1\end{array}\right.\) - step13: Rewrite: \(\left(x,y\right) = \left(-1,1\right)\) The solution to the system of equations is \( x = -1 \) and \( y = 1 \). Therefore, the value of \( y \) is 1.