Simplify 2y+8(y+1)+5(x+5)

$2 y + 8 (y + 1) + 5 (x + 5)$

Step 1

Simplify each term.

Apply the distributive property.

$2 y + 8 y + 8 \cdot 1 + 5 (x + 5)$

Multiply $8$ by $1$ .

$2 y + 8 y + 8 + 5 (x + 5)$

Apply the distributive property.

$2 y + 8 y + 8 + 5 x + 5 \cdot 5$

Multiply $5$ by $5$ .

$2 y + 8 y + 8 + 5 x + 25$

$2 y + 8 y + 8 + 5 x + 25$

Step 2

Simplify by adding terms.

Add $2 y$ and $8 y$ .

$10 y + 8 + 5 x + 25$

Simplify the expression.

Add $8$ and $25$ .

$10 y + 5 x + 33$

Reorder $10 y$ and $5 x$ .

$5 x + 10 y + 33$

$5 x + 10 y + 33$

$5 x + 10 y + 33$

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