Solve 5/6=y+2/9-1/6

$$\frac { 5 } { 6 } = \frac { y + 2 } { 9 } - \frac { 1 } { 6 }$$

Solve for y

$$y=7$$

Steps for Solving Linear Equation

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

$$15=2\left(y+2\right)-3$$

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

$$15=2y+4-3$$

Subtract 3 from 4 to get 1.

$$15=2y+1$$

Swap sides so that all variable terms are on the left hand side.

$$2y+1=15$$

Subtract 1 from both sides.

$$2y=15-1$$

Subtract 1 from 15 to get 14.

$$2y=14$$

Divide both sides by 2.

$$y=\frac{14}{2}$$

Divide 14 by 2 to get 7.

$$y=7$$