Simplify 10(8x+2y)+y-3(y-5x)

$10 (8 x + 2 y) + y - 3 (y - 5 x)$

Simplify each term.

Apply the distributive property.

$10 (8 x) + 10 (2 y) + y - 3 (y - 5 x)$

Multiply $8$ by $10$ .

$80 x + 10 (2 y) + y - 3 (y - 5 x)$

Multiply $2$ by $10$ .

$80 x + 20 y + y - 3 (y - 5 x)$

Apply the distributive property.

$80 x + 20 y + y - 3 y - 3 (- 5 x)$

Multiply $- 5$ by $- 3$ .

$80 x + 20 y + y - 3 y + 15 x$

$80 x + 20 y + y - 3 y + 15 x$

Simplify by adding terms.

Add $80 x$ and $15 x$ .

$95 x + 20 y + y - 3 y$

Add $20 y$ and $y$ .

$95 x + 21 y - 3 y$

Subtract $3 y$ from $21 y$ .

$95 x + 18 y$

$95 x + 18 y$

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