Simplify 8(x-y)+5(x-5y)+6y

$8 (x - y) + 5 (x - 5 y) + 6 y$

Step 1

Simplify each term.

Apply the distributive property.

$8 x + 8 (- y) + 5 (x - 5 y) + 6 y$

Multiply $- 1$ by $8$ .

$8 x - 8 y + 5 (x - 5 y) + 6 y$

Apply the distributive property.

$8 x - 8 y + 5 x + 5 (- 5 y) + 6 y$

Multiply $- 5$ by $5$ .

$8 x - 8 y + 5 x - 25 y + 6 y$

$8 x - 8 y + 5 x - 25 y + 6 y$

Step 2

Simplify by adding terms.

Add $8 x$ and $5 x$ .

$13 x - 8 y - 25 y + 6 y$

Subtract $25 y$ from $- 8 y$ .

$13 x - 33 y + 6 y$

Add $- 33 y$ and $6 y$ .

$13 x - 27 y$

$13 x - 27 y$

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