Solve y+6x-4=0

$$y + 6 x - 4 = 0$$

Solve for x

$$x=-\frac{y}{6}+\frac{2}{3}$$

Steps for Solving Linear Equation

Subtract y from both sides. Anything subtracted from zero gives its negation.

$$6x-4=-y$$

Add 4 to both sides.

$$6x=-y+4$$

The equation is in standard form.

$$6x=4-y$$

Divide both sides by 6.

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

Dividing by 6 undoes the multiplication by 6.

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

Divide -y+4 by 6.

$$x=-\frac{y}{6}+\frac{2}{3}$$

Solve for y

$$y=4-6x$$

Solution Steps

Subtract 6x from both sides. Anything subtracted from zero gives its negation.

$$y-4=-6x$$

Add 4 to both sides.

$$y=-6x+4$$