Simplify -3(2x-y)+2y+2(x+y)

$- 3 (2 x - y) + 2 y + 2 (x + y)$

Simplify each term.

Apply the distributive property.

$- 3 (2 x) - 3 (- y) + 2 y + 2 (x + y)$

Multiply $2$ by $- 3$ .

$- 6 x - 3 (- y) + 2 y + 2 (x + y)$

Multiply $- 1$ by $- 3$ .

$- 6 x + 3 y + 2 y + 2 (x + y)$

Apply the distributive property.

$- 6 x + 3 y + 2 y + 2 x + 2 y$

$- 6 x + 3 y + 2 y + 2 x + 2 y$

Simplify by adding terms.

Add $- 6 x$ and $2 x$ .

$- 4 x + 3 y + 2 y + 2 y$

Add $3 y$ and $2 y$ .

$- 4 x + 5 y + 2 y$

Add $5 y$ and $2 y$ .

$- 4 x + 7 y$

$- 4 x + 7 y$

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