Write in y=mx+b Form 7-(2y+2x)=6(x-y)

$7 - (2 y + 2 x) = 6 (x - y)$

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.

$7 - (2 y) - (2 x) = 6 (x - y)$

Multiply $2$ by $- 1$ .

$7 - 2 y - (2 x) = 6 (x - y)$

Multiply $2$ by $- 1$ .

$7 - 2 y - 2 x = 6 (x - y)$

Simplify the right side.

Simplify $6 (x - y)$ .

Apply the distributive property.

$7 - 2 y - 2 x = 6 x + 6 (- y)$

Multiply $- 1$ by $6$ .

$7 - 2 y - 2 x = 6 x - 6 y$

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

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

$7 - 2 y - 2 x + 6 y = 6 x$

Add $- 2 y$ and $6 y$ .

$7 - 2 x + 4 y = 6 x$

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

Subtract $7$ from both sides of the equation.

$- 2 x + 4 y = 6 x - 7$

Add $2 x$ to both sides of the equation.

$4 y = 6 x - 7 + 2 x$

Add $6 x$ and $2 x$ .

$4 y = 8 x - 7$

Divide each term in $4 y = 8 x - 7$ by $4$ and simplify.

Divide each term in $4 y = 8 x - 7$ by $4$ .

$\frac{4 y}{4} = \frac{8 x}{4} + \frac{- 7}{4}$

Simplify the left side.

Cancel the common factor of $4$ .

Cancel the common factor.

$\frac{4 y}{4} = \frac{8 x}{4} + \frac{- 7}{4}$

Divide $y$ by $1$ .

$y = \frac{8 x}{4} + \frac{- 7}{4}$

Simplify the right side.

Simplify each term.

Cancel the common factor of $8$ and $4$ .

Factor $4$ out of $8 x$ .

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

Cancel the common factors.

Factor $4$ out of $4$ .

$y = \frac{4 (2 x)}{4 (1)} + \frac{- 7}{4}$

Cancel the common factor.

$y = \frac{4 (2 x)}{4 \cdot 1} + \frac{- 7}{4}$

Rewrite the expression.

$y = \frac{2 x}{1} + \frac{- 7}{4}$

Divide $2 x$ by $1$ .

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

Move the negative in front of the fraction.

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

Write in y=mx+b Form 7-(2y+2x)=6(x-y)

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