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

Evaluate

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

Multiply both sides of the equation by LCM

(\frac{1}{6} y - \frac{1}{2}) \times 6 = (3 - \frac{1}{2} y) \times 6

Calculate

More Steps

y - 3 = (3 - \frac{1}{2} y) \times 6

Calculate

More Steps

y - 3 = 18 - 3 y

Move the expression to the left side

y - 3 + 3 y = 18

Move the expression to the right side

y + 3 y = 18 + 3

Add and subtract

More Steps

4 y = 18 + 3

Add and subtract

4 y = 21

Divide both sides

\frac{4 y}{4} = \frac{21}{4}

Solution

y = \frac{21}{4}

Alternative Form

y = 5.25

Solve the equation