Solve for c 5y=3478-3c

$5 y = 3478 - 3 c$

Step 1

Rewrite the equation as $3478 - 3 c = 5 y$ .

$3478 - 3 c = 5 y$

Step 2

Subtract $3478$ from both sides of the equation.

$- 3 c = 5 y - 3478$

Step 3

Divide each term in $- 3 c = 5 y - 3478$ by $- 3$ and simplify.

Divide each term in $- 3 c = 5 y - 3478$ by $- 3$ .

$\frac{- 3 c}{- 3} = \frac{5 y}{- 3} + \frac{- 3478}{- 3}$

Simplify the left side.

Cancel the common factor of $- 3$ .

Cancel the common factor.

$\frac{- 3 c}{- 3} = \frac{5 y}{- 3} + \frac{- 3478}{- 3}$

Divide $c$ by $1$ .

$c = \frac{5 y}{- 3} + \frac{- 3478}{- 3}$

Simplify the right side.

Simplify each term.

Move the negative in front of the fraction.

$c = - \frac{5 y}{3} + \frac{- 3478}{- 3}$

Dividing two negative values results in a positive value.

$c = - \frac{5 y}{3} + \frac{3478}{3}$