Simplify -(6x+3y)-(x+y)

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

Step 1

Simplify each term.

Apply the distributive property.

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

Multiply $6$ by $- 1$ .

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

Multiply $3$ by $- 1$ .

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

Apply the distributive property.

$- 6 x - 3 y - x - y$

$- 6 x - 3 y - x - y$

Step 2

Simplify by adding terms.

Subtract $x$ from $- 6 x$ .

$- 7 x - 3 y - y$

Subtract $y$ from $- 3 y$ .

$- 7 x - 4 y$

$- 7 x - 4 y$

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