Write in y=mx+b Form (3x+4)/4-8y=4-7y

$\frac{3 x + 4}{4} - 8 y = 4 - 7 y$

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 $\frac{3 x + 4}{4} - 8 y$ .

To write $- 8 y$ as a fraction with a common denominator, multiply by $\frac{4}{4}$ .

$\frac{3 x + 4}{4} - 8 y \cdot \frac{4}{4} = 4 - 7 y$

Combine $- 8 y$ and $\frac{4}{4}$ .

$\frac{3 x + 4}{4} + \frac{- 8 y \cdot 4}{4} = 4 - 7 y$

Combine the numerators over the common denominator.

$\frac{3 x + 4 - 8 y \cdot 4}{4} = 4 - 7 y$

Multiply $4$ by $- 8$ .

$\frac{3 x + 4 - 32 y}{4} = 4 - 7 y$

Multiply both sides by $4$ .

$\frac{3 x + 4 - 32 y}{4} \cdot 4 = (4 - 7 y) \cdot 4$

Simplify.

Simplify the left side.

Simplify $\frac{3 x + 4 - 32 y}{4} \cdot 4$ .

Cancel the common factor of $4$ .

Cancel the common factor.

$\frac{3 x + 4 - 32 y}{4} \cdot 4 = (4 - 7 y) \cdot 4$

Rewrite the expression.

$3 x + 4 - 32 y = (4 - 7 y) \cdot 4$

Move $4$ .

$3 x - 32 y + 4 = (4 - 7 y) \cdot 4$

Simplify the right side.

Simplify $(4 - 7 y) \cdot 4$ .

Apply the distributive property.

$3 x - 32 y + 4 = 4 \cdot 4 - 7 y \cdot 4$

Simplify the expression.

Multiply $4$ by $4$ .

$3 x - 32 y + 4 = 16 - 7 y \cdot 4$

Multiply $4$ by $- 7$ .

$3 x - 32 y + 4 = 16 - 28 y$

Reorder $16$ and $- 28 y$ .

$3 x - 32 y + 4 = - 28 y + 16$

Solve for $y$ .

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

Add $28 y$ to both sides of the equation.

$3 x - 32 y + 4 + 28 y = 16$

Add $- 32 y$ and $28 y$ .

$3 x - 4 y + 4 = 16$

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

Subtract $3 x$ from both sides of the equation.

$- 4 y + 4 = 16 - 3 x$

Subtract $4$ from both sides of the equation.

$- 4 y = 16 - 3 x - 4$

Subtract $4$ from $16$ .

$- 4 y = - 3 x + 12$

Divide each term in $- 4 y = - 3 x + 12$ by $- 4$ and simplify.

Divide each term in $- 4 y = - 3 x + 12$ by $- 4$ .

$\frac{- 4 y}{- 4} = \frac{- 3 x}{- 4} + \frac{12}{- 4}$

Simplify the left side.

Cancel the common factor of $- 4$ .

Cancel the common factor.

$\frac{- 4 y}{- 4} = \frac{- 3 x}{- 4} + \frac{12}{- 4}$

Divide $y$ by $1$ .

$y = \frac{- 3 x}{- 4} + \frac{12}{- 4}$

Simplify the right side.

Simplify each term.

Dividing two negative values results in a positive value.

$y = \frac{(3) x}{4} + \frac{12}{- 4}$

Divide $12$ by $- 4$ .

$y = \frac{3 x}{4} - 3$

Reorder terms.

$y = \frac{3}{4} x - 3$

Write in y=mx+b Form (3x+4)/4-8y=4-7y

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