Solve 3y=6+4x

$$3 y = 6 + 4 x$$

Solve for x

$$x=\frac{3\left(y-2\right)}{4}$$

Steps for Solving Linear Equation

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

$$6+4x=3y$$

Subtract 6 from both sides.

$$4x=3y-6$$

Divide both sides by 4.

$$\frac{4x}{4}=\frac{3y-6}{4}$$

Dividing by 4 undoes the multiplication by 4.

$$x=\frac{3y-6}{4}$$

Divide -6+3y by 4.

$$x=\frac{3y}{4}-\frac{3}{2}$$

Solve for y

$$y=\frac{4x}{3}+2$$

Steps for Solving Linear Equation

The equation is in standard form.

$$3y=4x+6$$

Divide both sides by 3.

$$\frac{3y}{3}=\frac{4x+6}{3}$$

Dividing by 3 undoes the multiplication by 3.

$$y=\frac{4x+6}{3}$$

Divide 6+4x by 3.

$$y=\frac{4x}{3}+2$$