Solve 2y-(7y-3)=8y+12

$$2 y - ( 7 y - 3 ) = 8 y + 12$$

Solve for y

$$y=-\frac{9}{13}\approx -0.692307692$$

Steps for Solving Linear Equation

To find the opposite of 7y-3, find the opposite of each term.

$$2y-7y-\left(-3\right)=8y+12$$

The opposite of -3 is 3.

$$2y-7y+3=8y+12$$

Combine 2y and -7y to get -5y.

$$-5y+3=8y+12$$

Subtract 8y from both sides.

$$-5y+3-8y=12$$

Combine -5y and -8y to get -13y.

$$-13y+3=12$$

Subtract 3 from both sides.

$$-13y=12-3$$

Subtract 3 from 12 to get 9.

$$-13y=9$$

Divide both sides by -13.

$$y=\frac{9}{-13}$$

Fraction \frac{9}{-13} can be rewritten as -\frac{9}{13} by extracting the negative sign.

$$y=-\frac{9}{13}$$