Solve for c 2/3cy+8m=2f

$\frac{2}{3} c y + 8 m = 2 f$

Step 1

Simplify each term.

Multiply $\frac{2}{3} (c y)$ .

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

$\frac{c \cdot 2}{3} y + 8 m = 2 f$

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

$\frac{c \cdot 2 y}{3} + 8 m = 2 f$

Move $2$ to the left of $c$ .

$\frac{2 c y}{3} + 8 m = 2 f$

Step 2

Subtract $8 m$ from both sides of the equation.

$\frac{2 c y}{3} = 2 f - 8 m$

Step 3

Multiply both sides of the equation by $\frac{3}{2}$ .

$\frac{3}{2} \cdot \frac{2 c y}{3} = \frac{3}{2} (2 f - 8 m)$

Step 4

Simplify both sides of the equation.

Simplify the left side.

Simplify $\frac{3}{2} \cdot \frac{2 c y}{3}$ .

Cancel the common factor of $3$ .

Cancel the common factor.

$\frac{3}{2} \cdot \frac{2 c y}{3} = \frac{3}{2} (2 f - 8 m)$

Rewrite the expression.

$\frac{1}{2} (2 c y) = \frac{3}{2} (2 f - 8 m)$

Cancel the common factor of $2$ .

Factor $2$ out of $2 c y$ .

$\frac{1}{2} (2 (c y)) = \frac{3}{2} (2 f - 8 m)$

Cancel the common factor.

$\frac{1}{2} (2 (c y)) = \frac{3}{2} (2 f - 8 m)$

Rewrite the expression.

$c y = \frac{3}{2} (2 f - 8 m)$

Simplify the right side.

Simplify $\frac{3}{2} (2 f - 8 m)$ .

Apply the distributive property.

$c y = \frac{3}{2} (2 f) + \frac{3}{2} (- 8 m)$

Cancel the common factor of $2$ .

Factor $2$ out of $2 f$ .

$c y = \frac{3}{2} (2 (f)) + \frac{3}{2} (- 8 m)$

Cancel the common factor.

$c y = \frac{3}{2} (2 f) + \frac{3}{2} (- 8 m)$

Rewrite the expression.

$c y = 3 f + \frac{3}{2} (- 8 m)$

Cancel the common factor of $2$ .

Factor $2$ out of $- 8 m$ .

$c y = 3 f + \frac{3}{2} (2 (- 4 m))$

Cancel the common factor.

$c y = 3 f + \frac{3}{2} (2 (- 4 m))$

Rewrite the expression.

$c y = 3 f + 3 (- 4 m)$

Multiply $- 4$ by $3$ .

$c y = 3 f - 12 m$

Step 5

Divide each term in $c y = 3 f - 12 m$ by $y$ and simplify.

Divide each term in $c y = 3 f - 12 m$ by $y$ .

$\frac{c y}{y} = \frac{3 f}{y} + \frac{- 12 m}{y}$

Simplify the left side.

Cancel the common factor of $y$ .

Cancel the common factor.

$\frac{c y}{y} = \frac{3 f}{y} + \frac{- 12 m}{y}$

Divide $c$ by $1$ .

$c = \frac{3 f}{y} + \frac{- 12 m}{y}$

Simplify the right side.

Move the negative in front of the fraction.

$c = \frac{3 f}{y} - \frac{12 m}{y}$

Solve for c 2/3cy+8m=2f

Related Questions

Support LCMGCF.com by disabling your adblocker.