### Video Transcript

Add 38π₯ minus 33π¦ plus 28π§, 24π¦ minus 23π₯ minus 23π§, and 24π₯ minus 11π§ minus 17π¦ then subtract the result from 26π₯ minus 17π¦ plus 19π§.

Our first step is to add the three expressions. In order to do this, weβll group or collect the like terms. Weβll group the π₯s, then weβll group the π¦s, then weβll group the π§s.

Grouping the π₯ terms gives us 38π₯ minus 23π₯ plus 24π₯. This is equal to 39π₯. Next, weβll group the π¦ terms: negative 33π¦ plus 24π¦ minus 17π¦. This is equal to negative 26π¦ as negative 33 plus 24 minus 17 is equal to negative 26. Finally, we need to group the π§ terms: 28π§ minus 23π§ minus 11π§. This is equal to minus six π§ as 28 minus 23 minus 11 is equal to negative six.

Adding the three expressions 38π₯ minus 33π¦ plus 28π§, 24π¦ minus 23π₯ minus 23π§, and 24π₯ minus 11π§ minus 17π¦ gives us 39π₯ minus 26π¦ minus six π§. We were then asked to subtract the result from 26π₯ minus 17π¦ plus 19π§. This can be written as 26π₯ minus 17π¦ plus 19π§ minus 39π₯ minus 26π¦ minus six π§.

Once again, we need to group the like terms. 26π₯ minus 39π₯ is negative 13π₯ as 26 minus 39 is negative 13. Negative 17π¦ minus negative 26π¦ is plus nine π¦ as negative 17 minus negative 26 is the same as negative 17 plus 26, which gives us an answer of nine. Finally, 19π§ minus negative six π§ is equal to 25π§ as 19 minus negative six is equal to 25.

This means that our final answer is negative 13π₯ plus nine π¦ plus 25π§.