Solve 5(13-y)=9y-(2y-5)

$$5(13-y)=9y-(2y-5)$$

Solve for y

$$y=5$$

Steps for Solving Linear Equation

Use the distributive property to multiply 5 by 13-y.

$$65-5y=9y-\left(2y-5\right)$$

To find the opposite of 2y-5, find the opposite of each term.

$$65-5y=9y-2y-\left(-5\right)$$

The opposite of -5 is 5.

$$65-5y=9y-2y+5$$

Combine 9y and -2y to get 7y.

$$65-5y=7y+5$$

Subtract 7y from both sides.

$$65-5y-7y=5$$

Combine -5y and -7y to get -12y.

$$65-12y=5$$

Subtract 65 from both sides.

$$-12y=5-65$$

Subtract 65 from 5 to get -60.

$$-12y=-60$$

Divide both sides by -12.

$$y=\frac{-60}{-12}$$

Divide -60 by -12 to get 5.

$$y=5$$