Solve 12y-19=3g-31

$$12 y - 19 = 3 g - 31$$

Solve for g

$$g=4\left(y+1\right)$$

Steps for Solving Linear Equation

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

$$3g-31=12y-19$$

Add 31 to both sides.

$$3g=12y-19+31$$

Add -19 and 31 to get 12.

$$3g=12y+12$$

Divide both sides by 3.

$$\frac{3g}{3}=\frac{12y+12}{3}$$

Dividing by 3 undoes the multiplication by 3.

$$g=\frac{12y+12}{3}$$

Divide 12+12y by 3.

$$g=4y+4$$

Solve for y

$$y=\frac{g-4}{4}$$

Steps for Solving Linear Equation

Add 19 to both sides.

$$12y=3g-31+19$$

Add -31 and 19 to get -12.

$$12y=3g-12$$

Divide both sides by 12.

$$\frac{12y}{12}=\frac{3g-12}{12}$$

Dividing by 12 undoes the multiplication by 12.

$$y=\frac{3g-12}{12}$$

Divide -12+3g by 12.

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