Simplify 5/7x+2/7y-2-1/7x+7

$\frac{5}{7} x + \frac{2}{7} y - 2 - \frac{1}{7} x + 7$

Simplify each term.

Combine $\frac{5}{7}$ and $x$ .

$\frac{5 x}{7} + \frac{2}{7} y - 2 - \frac{1}{7} x + 7$

Combine $\frac{2}{7}$ and $y$ .

$\frac{5 x}{7} + \frac{2 y}{7} - 2 - \frac{1}{7} x + 7$

Combine $x$ and $\frac{1}{7}$ .

$\frac{5 x}{7} + \frac{2 y}{7} - 2 - \frac{x}{7} + 7$

Simplify terms.

Combine the numerators over the common denominator.

$- 2 + 7 + \frac{5 x + 2 y - x}{7}$

Subtract $x$ from $5 x$ .

$- 2 + 7 + \frac{4 x + 2 y}{7}$

Factor $2$ out of $4 x + 2 y$ .

Factor $2$ out of $4 x$ .

$- 2 + 7 + \frac{2 (2 x) + 2 y}{7}$

Factor $2$ out of $2 y$ .

$- 2 + 7 + \frac{2 (2 x) + 2 (y)}{7}$

Factor $2$ out of $2 (2 x) + 2 (y)$ .

$- 2 + 7 + \frac{2 (2 x + y)}{7}$

Add $- 2$ and $7$ .

$5 + \frac{2 (2 x + y)}{7}$

To write $5$ as a fraction with a common denominator, multiply by $\frac{7}{7}$ .

$5 \cdot \frac{7}{7} + \frac{2 (2 x + y)}{7}$

Simplify terms.

Combine $5$ and $\frac{7}{7}$ .

$\frac{5 \cdot 7}{7} + \frac{2 (2 x + y)}{7}$

Combine the numerators over the common denominator.

$\frac{5 \cdot 7 + 2 (2 x + y)}{7}$

Simplify the numerator.

Multiply $5$ by $7$ .

$\frac{35 + 2 (2 x + y)}{7}$

Apply the distributive property.

$\frac{35 + 2 (2 x) + 2 y}{7}$

Multiply $2$ by $2$ .

$\frac{35 + 4 x + 2 y}{7}$