Solve for \( Y \) in the matrix equation below: \[ \left[\begin{array}{ccc}x+4 & 8 & -3 \\ 1 & 22 & 2 y \\ 7 & -2 & z+2\end{array}\right]=\left[\begin{array}{ccc}-18 x-81 & -72 & 27 \\ -9 & -198 & 72 \\ -63 & 18 & -99\end{array}\right. \] \( y=10 \) \( y=-5 \) \( y=9 \) \( y=-4 \)

To solve for \( Y \) in the provided matrix equation, we equate the corresponding elements from both matrices: 1. From the second row, second column we have: \[ 2y = -198 \] Dividing both sides by 2 gives: \[ y = -99 \] Now, checking the provided options: \( y=10 \), \( y=-5 \), \( y=9 \), \( y=-4 \). None of these values match \( y = -99 \). Let's inspect other entries or consider simplifications. Notice if you find matching entries from different rows and columns could potentially yield better results. However, recalling values directly leads us to conclude that none are correct. In conclusion, based on the calculations, it appears there was some misunderstanding in Y's input from the matrix as it did not match options given. Further checks on the constraints or definitions used might clarify.