Basic Math Examples

$18 = 7 c + 2 - 3 y$

Step 1

Rewrite the equation as $7 c + 2 - 3 y = 18$ .

$7 c + 2 - 3 y = 18$

Step 2

Move all terms not containing $y$ to the right side of the equation.

Tap for more steps...

Step 2.1

Subtract $7 c$ from both sides of the equation.

$2 - 3 y = 18 - 7 c$

Step 2.2

Subtract $2$ from both sides of the equation.

$- 3 y = 18 - 7 c - 2$

Step 2.3

Subtract $2$ from $18$ .

$- 3 y = - 7 c + 16$

Step 3

Divide each term in $- 3 y = - 7 c + 16$ by $- 3$ and simplify.

Tap for more steps...

Step 3.1

Divide each term in $- 3 y = - 7 c + 16$ by $- 3$ .

$\frac{- 3 y}{- 3} = \frac{- 7 c}{- 3} + \frac{16}{- 3}$

Step 3.2

Simplify the left side.

Tap for more steps...

Step 3.2.1

Cancel the common factor of $- 3$ .

Tap for more steps...

Step 3.2.1.1

Cancel the common factor.

$\frac{- 3 y}{- 3} = \frac{- 7 c}{- 3} + \frac{16}{- 3}$

Step 3.2.1.2

Divide $y$ by $1$ .

$y = \frac{- 7 c}{- 3} + \frac{16}{- 3}$

Step 3.3

Simplify the right side.

Tap for more steps...

Step 3.3.1

Simplify each term.

Tap for more steps...

Step 3.3.1.1

Dividing two negative values results in a positive value.

$y = \frac{7 c}{3} + \frac{16}{- 3}$

Step 3.3.1.2

Move the negative in front of the fraction.

$y = \frac{7 c}{3} - \frac{16}{3}$