Solve (3)5/6=y+2/9-1/6

$$( 3 ) \frac { 5 } { 6 } = \frac { y + 2 } { 9 } - \frac { 1 } { 6 }$$

Solve for y

$$y=22$$

Steps for Solving Linear Equation

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

$$54\times \frac{5}{6}=2\left(y+2\right)-3$$

Express 54\times \frac{5}{6} as a single fraction.

$$\frac{54\times 5}{6}=2\left(y+2\right)-3$$

Multiply 54 and 5 to get 270.

$$\frac{270}{6}=2\left(y+2\right)-3$$

Divide 270 by 6 to get 45.

$$45=2\left(y+2\right)-3$$

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

$$45=2y+4-3$$

Subtract 3 from 4 to get 1.

$$45=2y+1$$

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

$$2y+1=45$$

Subtract 1 from both sides.

$$2y=45-1$$

Subtract 1 from 45 to get 44.

$$2y=44$$

Divide both sides by 2.

$$y=\frac{44}{2}$$

Divide 44 by 2 to get 22.

$$y=22$$