Write in y=mx+b Form 7-(5y+4x)=6(x-y)

$7 - (5 y + 4 x) = 6 (x - y)$

Step 1

The slope-intercept form is $y = m x + b$ , where $m$ is the slope and $b$ is the y-intercept.

$y = m x + b$

Step 2

Rewrite in slope-intercept form.

Simplify the left side.

Simplify each term.

Apply the distributive property.

$7 - (5 y) - (4 x) = 6 (x - y)$

Multiply $5$ by $- 1$ .

$7 - 5 y - (4 x) = 6 (x - y)$

Multiply $4$ by $- 1$ .

$7 - 5 y - 4 x = 6 (x - y)$

Simplify the right side.

Simplify $6 (x - y)$ .

Apply the distributive property.

$7 - 5 y - 4 x = 6 x + 6 (- y)$

Multiply $- 1$ by $6$ .

$7 - 5 y - 4 x = 6 x - 6 y$

Move all terms containing $y$ to the left side of the equation.

Add $6 y$ to both sides of the equation.

$7 - 5 y - 4 x + 6 y = 6 x$

Add $- 5 y$ and $6 y$ .

$7 - 4 x + y = 6 x$

Move all terms not containing $y$ to the right side of the equation.

Subtract $7$ from both sides of the equation.

$- 4 x + y = 6 x - 7$

Add $4 x$ to both sides of the equation.

$y = 6 x - 7 + 4 x$

Add $6 x$ and $4 x$ .

$y = 10 x - 7$