Solve for a y=(ab)/(2c)

$y = \frac{a b}{2 c}$

Step 1

Rewrite the equation as $\frac{a b}{2 c} = y$ .

$\frac{a b}{2 c} = y$

Step 2

Multiply both sides by $2 c$ .

$\frac{a b}{2 c} (2 c) = y (2 c)$

Step 3

Simplify.

Simplify the left side.

Simplify $\frac{a b}{2 c} (2 c)$ .

Rewrite using the commutative property of multiplication.

$2 \frac{a b}{2 c} c = y (2 c)$

Cancel the common factor of $2$ .

Factor $2$ out of $2 c$ .

$2 \frac{a b}{2 (c)} c = y (2 c)$

Cancel the common factor.

$2 \frac{a b}{2 c} c = y (2 c)$

Rewrite the expression.

$\frac{a b}{c} c = y (2 c)$

Cancel the common factor of $c$ .

Cancel the common factor.

$\frac{a b}{c} c = y (2 c)$

Rewrite the expression.

$a b = y (2 c)$

Simplify the right side.

Rewrite using the commutative property of multiplication.

$a b = 2 y c$

Step 4

Divide each term in $a b = 2 y c$ by $b$ and simplify.

Divide each term in $a b = 2 y c$ by $b$ .

$\frac{a b}{b} = \frac{2 y c}{b}$

Simplify the left side.

Cancel the common factor of $b$ .

Cancel the common factor.

$\frac{a b}{b} = \frac{2 y c}{b}$

Divide $a$ by $1$ .

$a = \frac{2 y c}{b}$