Simplify 2x-4(x-4(y-2(5y+4)))

$2 x - 4 (x - 4 (y - 2 (5 y + 4)))$

Step 1

Simplify each term.

Simplify each term.

Simplify each term.

Apply the distributive property.

$2 x - 4 (x - 4 (y - 2 (5 y) - 2 \cdot 4))$

Multiply $5$ by $- 2$ .

$2 x - 4 (x - 4 (y - 10 y - 2 \cdot 4))$

Multiply $- 2$ by $4$ .

$2 x - 4 (x - 4 (y - 10 y - 8))$

$2 x - 4 (x - 4 (y - 10 y - 8))$

Subtract $10 y$ from $y$ .

$2 x - 4 (x - 4 (- 9 y - 8))$

Apply the distributive property.

$2 x - 4 (x - 4 (- 9 y) - 4 \cdot - 8)$

Multiply $- 9$ by $- 4$ .

$2 x - 4 (x + 36 y - 4 \cdot - 8)$

Multiply $- 4$ by $- 8$ .

$2 x - 4 (x + 36 y + 32)$

$2 x - 4 (x + 36 y + 32)$

Apply the distributive property.

$2 x - 4 x - 4 (36 y) - 4 \cdot 32$

Simplify.

Multiply $36$ by $- 4$ .

$2 x - 4 x - 144 y - 4 \cdot 32$

Multiply $- 4$ by $32$ .

$2 x - 4 x - 144 y - 128$

$2 x - 4 x - 144 y - 128$

$2 x - 4 x - 144 y - 128$

Step 2

Subtract $4 x$ from $2 x$ .

$- 2 x - 144 y - 128$

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