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

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

Solve for y

$$y=7$$

Steps for Solving Linear Equation

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

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

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

$$y-1-3y+9=-6$$

Combine y and -3y to get -2y.

$$-2y-1+9=-6$$

Add -1 and 9 to get 8.

$$-2y+8=-6$$

Subtract 8 from both sides.

$$-2y=-6-8$$

Subtract 8 from -6 to get -14.

$$-2y=-14$$

Divide both sides by -2.

$$y=\frac{-14}{-2}$$

Divide -14 by -2 to get 7.

$$y=7$$