Solve y/3-y+2/6=2y/9

$$\frac { y } { 3 } - \frac { y + 2 } { 6 } = \frac { 2 y } { 9 }$$

Solve for y

$$y=-6$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 18, the least common multiple of 3,6,9.

$$6y-3\left(y+2\right)=2\times 2y$$

Use the distributive property to multiply -3 by y+2.

$$6y-3y-6=2\times 2y$$

Combine 6y and -3y to get 3y.

$$3y-6=2\times 2y$$

Multiply 2 and 2 to get 4.

$$3y-6=4y$$

Subtract 4y from both sides.

$$3y-6-4y=0$$

Combine 3y and -4y to get -y.

$$-y-6=0$$

Add 6 to both sides. Anything plus zero gives itself.

$$-y=6$$

Multiply both sides by -1.

$$y=-6$$