Solve 3-y/4+2y-2/3=2y+1/6

$$\frac { 3 - y } { 4 } + \frac { 2 y - 2 } { 3 } = \frac { 2 y + 1 } { 6 }$$

Solve for y

$$y=1$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 12, the least common multiple of 4,3,6.

$$3\left(3-y\right)+4\left(2y-2\right)=2\left(2y+1\right)$$

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

$$9-3y+4\left(2y-2\right)=2\left(2y+1\right)$$

Use the distributive property to multiply 4 by 2y-2.

$$9-3y+8y-8=2\left(2y+1\right)$$

Combine -3y and 8y to get 5y.

$$9+5y-8=2\left(2y+1\right)$$

Subtract 8 from 9 to get 1.

$$1+5y=2\left(2y+1\right)$$

Use the distributive property to multiply 2 by 2y+1.

$$1+5y=4y+2$$

Subtract 4y from both sides.

$$1+5y-4y=2$$

Combine 5y and -4y to get y.

$$1+y=2$$

Subtract 1 from both sides.

$$y=2-1$$

Subtract 1 from 2 to get 1.

$$y=1$$