Solve y-3/2-y-1/7=1/14

$$\frac { y - 3 } { 2 } - \frac { y - 1 } { 7 } = \frac { 1 } { 14 }$$

Solve for y

$$y=4$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 14, the least common multiple of 2,7,14.

$$7\left(y-3\right)-2\left(y-1\right)=1$$

Use the distributive property to multiply 7 by y-3.

$$7y-21-2\left(y-1\right)=1$$

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

$$7y-21-2y+2=1$$

Combine 7y and -2y to get 5y.

$$5y-21+2=1$$

Add -21 and 2 to get -19.

$$5y-19=1$$

Add 19 to both sides.

$$5y=1+19$$

Add 1 and 19 to get 20.

$$5y=20$$

Divide both sides by 5.

$$y=\frac{20}{5}$$

Divide 20 by 5 to get 4.

$$y=4$$