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

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

Solve for y

$$y = \frac{11}{7} = 1\frac{4}{7} \approx 1.571428571$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 10, the least common multiple of 2,5.

$$10y-5\left(y-1\right)=20-2\left(y+2\right)$$

Use the distributive property to multiply -5 by y-1.

$$10y-5y+5=20-2\left(y+2\right)$$

Combine 10y and -5y to get 5y.

$$5y+5=20-2\left(y+2\right)$$

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

$$5y+5=20-2y-4$$

Subtract 4 from 20 to get 16.

$$5y+5=16-2y$$

Add 2y to both sides.

$$5y+5+2y=16$$

Combine 5y and 2y to get 7y.

$$7y+5=16$$

Subtract 5 from both sides.

$$7y=16-5$$

Subtract 5 from 16 to get 11.

$$7y=11$$

Divide both sides by 7.

$$y=\frac{11}{7}$$