Multiply `2` by each term inside the parentheses.

`2y+2x-1y-1y+x-13+8(2-x) `

Multiply `8` by each term inside the parentheses.

`2y+2x-1y-1y+x-13+16-8x`

Remove the `-1` from `-1y` .

`2y+2x-y-y+x-13+16-8x `

Combine all similar terms in the polynomial `2y+2x-y-y+x-13+16-8x` .

`-5x+3 `

Reorder the polynomial `-5x+3` alphabetically from left to right, starting with the highest order term.

`3-5x`

Simplify `2(y + x) + (-1y) + (-1y) + x + (-13) + 8(2-x).`

First distribute the 2 to (y + x) and 8 to (2 - x).

`2y + 2x + (-1y) + (-1y) + x + (-13) + 16 - 8x`

Now combine like terms.

`2y + (-1y) + (-1y) = 0y = 0`

`2x + x - 8x = -5x`

`-13 + 16 = 3`

Therefore this gives us `0y - 5x + 3` or `-5x + 3` .

**The simplified solution is `-5x + 3` or `3 - 5x.`**