Solve y+1=-(x+4)

$$y + 1 = - ( x + 4 )$$

Solve for x

$$x=-\left(y+5\right)$$

Steps for Solving Linear Equation

To find the opposite of x+4, find the opposite of each term.

$$y+1=-x-4$$

Swap sides so that all variable terms are on the left hand side.

$$-x-4=y+1$$

Add 4 to both sides.

$$-x=y+1+4$$

Add 1 and 4 to get 5.

$$-x=y+5$$

Divide both sides by -1.

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

Dividing by -1 undoes the multiplication by -1.

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

Divide y+5 by -1.

$$x=-\left(y+5\right)$$

Solve for y

$$y=-\left(x+5\right)$$

Solution Steps

To find the opposite of x+4, find the opposite of each term.

$$y+1=-x-4$$

Subtract 1 from both sides.

$$y=-x-4-1$$

Subtract 1 from -4 to get -5.

$$y=-x-5$$