Solve -3x-3=4y+6

$$- 3 x - 3 = 4 y + 6$$

Solve for x

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

Steps for Solving Linear Equation

Add 3 to both sides.

$$-3x=4y+6+3$$

Add 6 and 3 to get 9.

$$-3x=4y+9$$

Divide both sides by -3.

$$\frac{-3x}{-3}=\frac{4y+9}{-3}$$

Dividing by -3 undoes the multiplication by -3.

$$x=\frac{4y+9}{-3}$$

Divide 4y+9 by -3.

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

Solve for y

$$y=\frac{-3x-9}{4}$$

Steps for Solving Linear Equation

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

$$4y+6=-3x-3$$

Subtract 6 from both sides.

$$4y=-3x-3-6$$

Subtract 6 from -3 to get -9.

$$4y=-3x-9$$

Divide both sides by 4.

$$\frac{4y}{4}=\frac{-3x-9}{4}$$

Dividing by 4 undoes the multiplication by 4.

$$y=\frac{-3x-9}{4}$$