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

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

Step 1

Remove parentheses.

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

Step 2

Simplify each term.

Simplify each term.

Apply the distributive property.

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

Apply the distributive property.

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

Simplify.

Multiply $- 1$ by $1$ .

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

Multiply $- - x$ .

Multiply $- 1$ by $- 1$ .

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

Multiply $x$ by $1$ .

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

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

Multiply $- - y$ .

Multiply $- 1$ by $- 1$ .

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

Multiply $y$ by $1$ .

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

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

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

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

Add $2 x$ and $x$ .

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

Add $3 x$ and $x$ .

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

Subtract $2 y$ from $y$ .

$3 - (4 x - 1 - y)$

Apply the distributive property.

$3 - (4 x) - - 1 - - y$

Simplify.

Multiply $4$ by $- 1$ .

$3 - 4 x - - 1 - - y$

Multiply $- 1$ by $- 1$ .

$3 - 4 x + 1 - - y$

Multiply $- - y$ .

Multiply $- 1$ by $- 1$ .

$3 - 4 x + 1 + 1 y$

Multiply $y$ by $1$ .

$3 - 4 x + 1 + y$

$3 - 4 x + 1 + y$

$3 - 4 x + 1 + y$

$3 - 4 x + 1 + y$

Step 3

Simplify the expression.

Add $3$ and $1$ .

$- 4 x + 4 + y$

Move $4$ .

$- 4 x + y + 4$

$- 4 x + y + 4$

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