Solve 4y-11/15+13-7y/20=2

$$\frac { 4 y - 11 } { 15 } + \frac { 13 - 7 y } { 20 } = 2$$

Solve for y

$$y=-25$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 60, the least common multiple of 15,20.

$$4\left(4y-11\right)+3\left(13-7y\right)=120$$

Use the distributive property to multiply 4 by 4y-11.

$$16y-44+3\left(13-7y\right)=120$$

Use the distributive property to multiply 3 by 13-7y.

$$16y-44+39-21y=120$$

Add -44 and 39 to get -5.

$$16y-5-21y=120$$

Combine 16y and -21y to get -5y.

$$-5y-5=120$$

Add 5 to both sides.

$$-5y=120+5$$

Add 120 and 5 to get 125.

$$-5y=125$$

Divide both sides by -5.

$$y=\frac{125}{-5}$$

Divide 125 by -5 to get -25.

$$y=-25$$