Solve (12x+3y)-(12x-20y)=15-81

$$( 12 x + 3 y ) - ( 12 x - 20 y ) = 15 - 81$$

Solve for y

$$y = -\frac{66}{23} = -2\frac{20}{23} = -2.869565217391304$$

Steps for Solving Linear Equation

To find the opposite of 12x-20y, find the opposite of each term.

$$12x+3y-12x+20y=15-81$$

Combine 12x and -12x to get 0.

$$3y+20y=15-81$$

Combine 3y and 20y to get 23y.

$$23y=15-81$$

Subtract 81 from 15 to get -66.

$$23y=-66$$

Divide both sides by 23.

$$y=\frac{-66}{23}$$

Fraction \frac{-66}{23} can be rewritten as -\frac{66}{23} by extracting the negative sign.

$$y=-\frac{66}{23}$$

Solve for x (complex solution)

$$x\in \mathrm{C}$$

$$y = -\frac{66}{23} = -2\frac{20}{23} = -2.869565217391304$$

Solve for x

$$x\in \mathrm{R}$$

$$y = -\frac{66}{23} = -2\frac{20}{23} = -2.869565217391304$$