Simplify the Matrix [[z-5],[-6],[-1-6z],[3y]]+[[-3y],[3z],[5+z],[4z]]

$[\begin{array}{c} z - 5 \\ - 6 \\ - 1 - 6 z \\ 3 y \end{array}] + [\begin{array}{c} - 3 y \\ 3 z \\ 5 + z \\ 4 z \end{array}]$

Rearrange $- 1 - 6 z$ .

$[\begin{array}{c} z - 5 \\ - 6 \\ - 6 z - 1 \\ 3 y \end{array}] + [\begin{array}{c} - 3 y \\ 3 z \\ 5 + z \\ 4 z \end{array}]$

Rearrange $5 + z$ .

$[\begin{array}{c} z - 5 \\ - 6 \\ - 6 z - 1 \\ 3 y \end{array}] + [\begin{array}{c} - 3 y \\ 3 z \\ z + 5 \\ 4 z \end{array}]$

Add the corresponding elements.

$[\begin{array}{c} z - 5 - 3 y \\ - 6 + 3 z \\ - 6 z - 1 + z + 5 \\ 3 y + 4 z \end{array}]$

Simplify $- 6 z - 1 + z + 5$ .

$[\begin{array}{c} z - 5 - 3 y \\ - 6 + 3 z \\ - 5 z + 4 \\ 3 y + 4 z \end{array}]$