Simplify -3(10x+4y)+6(6x-2y)

$- 3 (10 x + 4 y) + 6 (6 x - 2 y)$

Step 1

Simplify each term.

Apply the distributive property.

$- 3 (10 x) - 3 (4 y) + 6 (6 x - 2 y)$

Multiply $10$ by $- 3$ .

$- 30 x - 3 (4 y) + 6 (6 x - 2 y)$

Multiply $4$ by $- 3$ .

$- 30 x - 12 y + 6 (6 x - 2 y)$

Apply the distributive property.

$- 30 x - 12 y + 6 (6 x) + 6 (- 2 y)$

Multiply $6$ by $6$ .

$- 30 x - 12 y + 36 x + 6 (- 2 y)$

Multiply $- 2$ by $6$ .

$- 30 x - 12 y + 36 x - 12 y$

$- 30 x - 12 y + 36 x - 12 y$

Step 2

Simplify by adding terms.

Add $- 30 x$ and $36 x$ .

$6 x - 12 y - 12 y$

Subtract $12 y$ from $- 12 y$ .

$6 x - 24 y$

$6 x - 24 y$

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