Solve 6y(13y-9)-13y(6y-1)=24y+13

$$6y(13y-9)-13y(6y-1) = 24y+13$$

Solve for y

$$y=-\frac{1}{5}=-0.2$$

Steps for Solving Linear Equation

Use the distributive property to multiply 6y by 13y-9.

$$78y^{2}-54y-13y\left(6y-1\right)=24y+13$$

Subtract 24y from both sides.

$$78y^{2}-54y-13y\left(6y-1\right)-24y=13$$

Use the distributive property to multiply -13y by 6y-1.

$$78y^{2}-54y-78y^{2}+13y-24y=13$$

Combine 78y^{2} and -78y^{2} to get 0.

$$-54y+13y-24y=13$$

Combine -54y and 13y to get -41y.

$$-41y-24y=13$$

Combine -41y and -24y to get -65y.

$$-65y=13$$

Divide both sides by -65.

$$y=\frac{13}{-65}$$

Reduce the fraction \frac{13}{-65} to lowest terms by extracting and canceling out 13.

$$y=-\frac{1}{5}$$