Simplify 4-(3x+(2x-(5y+2)))

$4 - (3 x + (2 x - (5 y + 2)))$

Remove parentheses.

$4 - (3 x + 2 x - (5 y + 2))$

Simplify each term.

Simplify each term.

Apply the distributive property.

$4 - (3 x + 2 x - (5 y) - 1 \cdot 2)$

Multiply $5$ by $- 1$ .

$4 - (3 x + 2 x - 5 y - 1 \cdot 2)$

Multiply $- 1$ by $2$ .

$4 - (3 x + 2 x - 5 y - 2)$

$4 - (3 x + 2 x - 5 y - 2)$

Add $3 x$ and $2 x$ .

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

Apply the distributive property.

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

Simplify.

Multiply $5$ by $- 1$ .

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

Multiply $- 5$ by $- 1$ .

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

Multiply $- 1$ by $- 2$ .

$4 - 5 x + 5 y + 2$

$4 - 5 x + 5 y + 2$

$4 - 5 x + 5 y + 2$

Add $4$ and $2$ .

$- 5 x + 5 y + 6$

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