Solve for x y=-4x-1

$y = - 4 x - 1$

Step 1

Rewrite the equation as $- 4 x - 1 = y$ .

$- 4 x - 1 = y$

Step 2

Add $1$ to both sides of the equation.

$- 4 x = y + 1$

Step 3

Divide each term in $- 4 x = y + 1$ by $- 4$ and simplify.

Divide each term in $- 4 x = y + 1$ by $- 4$ .

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

Simplify the left side.

Cancel the common factor of $- 4$ .

Cancel the common factor.

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

Divide $x$ by $1$ .

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

Simplify the right side.

Simplify each term.

Move the negative in front of the fraction.

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

Move the negative in front of the fraction.

$x = - \frac{y}{4} - \frac{1}{4}$