Solve y+2/3+4y-24/21=4/7

$$\frac { y + 2 } { 3 } + \frac { 4 y - 24 } { 21 } = \frac { 4 } { 7 }$$

Solve for y

$$y=2$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 21, the least common multiple of 3,21,7.

$$7\left(y+2\right)+4y-24=12$$

Use the distributive property to multiply 7 by y+2.

$$7y+14+4y-24=12$$

Combine 7y and 4y to get 11y.

$$11y+14-24=12$$

Subtract 24 from 14 to get -10.

$$11y-10=12$$

Add 10 to both sides.

$$11y=12+10$$

Add 12 and 10 to get 22.

$$11y=22$$

Divide both sides by 11.

$$y=\frac{22}{11}$$

Divide 22 by 11 to get 2.

$$y=2$$