Write in y=mx+b Form 7-(5y+3x)=7(x-y)

$7 - (5 y + 3 x) = 7 (x - y)$

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.

$7 - (5 y) - (3 x) = 7 (x - y)$

Multiply $5$ by $- 1$ .

$7 - 5 y - (3 x) = 7 (x - y)$

Multiply $3$ by $- 1$ .

$7 - 5 y - 3 x = 7 (x - y)$

Simplify the right side.

Simplify $7 (x - y)$ .

Apply the distributive property.

$7 - 5 y - 3 x = 7 x + 7 (- y)$

Multiply $- 1$ by $7$ .

$7 - 5 y - 3 x = 7 x - 7 y$

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

Add $7 y$ to both sides of the equation.

$7 - 5 y - 3 x + 7 y = 7 x$

Add $- 5 y$ and $7 y$ .

$7 - 3 x + 2 y = 7 x$

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

Subtract $7$ from both sides of the equation.

$- 3 x + 2 y = 7 x - 7$

Add $3 x$ to both sides of the equation.

$2 y = 7 x - 7 + 3 x$

Add $7 x$ and $3 x$ .

$2 y = 10 x - 7$

Divide each term in $2 y = 10 x - 7$ by $2$ and simplify.

Divide each term in $2 y = 10 x - 7$ by $2$ .

$\frac{2 y}{2} = \frac{10 x}{2} + \frac{- 7}{2}$

Simplify the left side.

Cancel the common factor of $2$ .

Cancel the common factor.

$\frac{2 y}{2} = \frac{10 x}{2} + \frac{- 7}{2}$

Divide $y$ by $1$ .

$y = \frac{10 x}{2} + \frac{- 7}{2}$

Simplify the right side.

Simplify each term.

Cancel the common factor of $10$ and $2$ .

Factor $2$ out of $10 x$ .

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

Cancel the common factors.

Factor $2$ out of $2$ .

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

Cancel the common factor.

$y = \frac{2 (5 x)}{2 \cdot 1} + \frac{- 7}{2}$

Rewrite the expression.

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

Divide $5 x$ by $1$ .

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

Move the negative in front of the fraction.

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

Write in y=mx+b Form 7-(5y+3x)=7(x-y)

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