Simplify 4x+7+3y-(1+3y+2x)

$4 x + 7 + 3 y - (1 + 3 y + 2 x)$

Step 1

Simplify each term.

Apply the distributive property.

$4 x + 7 + 3 y - 1 \cdot 1 - (3 y) - (2 x)$

Simplify.

Multiply $- 1$ by $1$ .

$4 x + 7 + 3 y - 1 - (3 y) - (2 x)$

Multiply $3$ by $- 1$ .

$4 x + 7 + 3 y - 1 - 3 y - (2 x)$

Multiply $2$ by $- 1$ .

$4 x + 7 + 3 y - 1 - 3 y - 2 x$

Step 2

Simplify by adding terms.

Combine the opposite terms in $4 x + 7 + 3 y - 1 - 3 y - 2 x$ .

Subtract $3 y$ from $3 y$ .

$4 x + 7 + 0 - 1 - 2 x$

Add $4 x + 7$ and $0$ .

$4 x + 7 - 1 - 2 x$

Subtract $2 x$ from $4 x$ .

$2 x + 7 - 1$

Subtract $1$ from $7$ .

$2 x + 6$