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

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

Solve for y

$$y=1$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 6, the least common multiple of 2,3.

$$6y-3\left(y-1\right)=12-2\left(y+2\right)$$

Use the distributive property to multiply -3 by y-1.

$$6y-3y+3=12-2\left(y+2\right)$$

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

$$3y+3=12-2\left(y+2\right)$$

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

$$3y+3=12-2y-4$$

Subtract 4 from 12 to get 8.

$$3y+3=8-2y$$

Add 2y to both sides.

$$3y+3+2y=8$$

Combine 3y and 2y to get 5y.

$$5y+3=8$$

Subtract 3 from both sides.

$$5y=8-3$$

Subtract 3 from 8 to get 5.

$$5y=5$$

Divide both sides by 5.

$$y=\frac{5}{5}$$

Divide 5 by 5 to get 1.

$$y=1$$