Solve by Factoring 3/2y-y=4+1/2y

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

Step 1

Move all the expressions to the left side of the equation.

Subtract $4$ from both sides of the equation.

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

Subtract $\frac{1}{2} y$ from both sides of the equation.

$\frac{3}{2} y - y - 4 - \frac{1}{2} y = 0$

Step 2

Simplify $\frac{3}{2} y - y - 4 - \frac{1}{2} y$ .

Simplify each term.

Combine $\frac{3}{2}$ and $y$ .

$\frac{3 y}{2} - y - 4 - \frac{1}{2} y = 0$

Combine $y$ and $\frac{1}{2}$ .

$\frac{3 y}{2} - y - 4 - \frac{y}{2} = 0$

Combine the numerators over the common denominator.

$- y - 4 + \frac{3 y - y}{2} = 0$

Subtract $y$ from $3 y$ .

$- y - 4 + \frac{2 y}{2} = 0$

Cancel the common factor of $2$ .

Cancel the common factor.

$- y - 4 + \frac{2 y}{2} = 0$

Divide $y$ by $1$ .

$- y - 4 + y = 0$

Combine the opposite terms in $- y - 4 + y$ .

Add $- y$ and $y$ .

$0 - 4 = 0$

Subtract $4$ from $0$ .

$- 4 = 0$

Step 3

Since $- 4 \neq 0$ , there are no solutions.

No solution