Solve 2y-1/4=1-3-y/8

$$\frac { 2 y - 1 } { 4 } = 1 - \frac { 3 - y } { 8 }$$

Solve for y

$$y = \frac{7}{3} = 2\frac{1}{3} \approx 2.333333333$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 8, the least common multiple of 4,8.

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

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

$$4y-2=8-\left(3-y\right)$$

To find the opposite of 3-y, find the opposite of each term.

$$4y-2=8-3-\left(-y\right)$$

The opposite of -y is y.

$$4y-2=8-3+y$$

Subtract 3 from 8 to get 5.

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

Subtract y from both sides.

$$4y-2-y=5$$

Combine 4y and -y to get 3y.

$$3y-2=5$$

Add 2 to both sides.

$$3y=5+2$$

Add 5 and 2 to get 7.

$$3y=7$$

Divide both sides by 3.

$$y=\frac{7}{3}$$