Write in y=mx+b Form 1-(7y+2x)=8(x-y)

$1 - (7 y + 2 x) = 8 (x - y)$

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

$y = m x + b$

Rewrite in slope-intercept form.

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Simplify each term.

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Apply the distributive property.

$1 - (7 y) - (2 x) = 8 (x - y)$

Multiply $7$ by $- 1$ .

$1 - 7 y - (2 x) = 8 (x - y)$

Multiply $2$ by $- 1$ .

$1 - 7 y - 2 x = 8 (x - y)$

Simplify $8 (x - y)$ .

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Apply the distributive property.

$1 - 7 y - 2 x = 8 x + 8 (- y)$

Multiply $- 1$ by $8$ .

$1 - 7 y - 2 x = 8 x - 8 y$

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

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Add $8 y$ to both sides of the equation.

$1 - 7 y - 2 x + 8 y = 8 x$

Add $- 7 y$ and $8 y$ .

$1 - 2 x + y = 8 x$

Move $1$ .

$- 2 x + y + 1 = 8 x$

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

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

$y + 1 = 8 x + 2 x$

Subtract $1$ from both sides of the equation.

$y = 8 x + 2 x - 1$

Add $8 x$ and $2 x$ .

$y = 10 x - 1$

Write in y=mx+b Form 1-(7y+2x)=8(x-y)

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