System B \[ \begin{aligned} -4 x+y & =-8 \\ 4 x & =-8+y \end{aligned} \]

Step 1 ：The given system of equations is: \(-4x + y = -8\) and \(4x = -8 + y\).

Step 2 ：We are given a system of two linear equations. We need to find the values of x and y that satisfy both equations.

Step 3 ：From the second equation, we can express y in terms of x: \(y = 4x + 8\).

Step 4 ：Now, substitute \(y = 4x + 8\) into the first equation: \(-4x + (4x + 8) = -8\), which simplifies to \(8 = -8\).

Step 5 ：This is a contradiction, which means that the system of equations has no solution.

Step 6 ：Since we arrived at a contradiction, there is no need to check the solution.

Step 7 ：\(\boxed{\text{The system of equations has no solution.}}\)