Basic Math Examples

$3 (5 y - 3) = 16 y$

Step 1

Simplify $3 (5 y - 3)$ .

Tap for more steps...

Step 1.1

Rewrite.

$0 + 0 + 3 (5 y - 3) = 16 y$

Step 1.2

Simplify by adding zeros.

$3 (5 y - 3) = 16 y$

Step 1.3

Apply the distributive property.

$3 (5 y) + 3 \cdot - 3 = 16 y$

Step 1.4

Multiply.

Tap for more steps...

Step 1.4.1

Multiply $5$ by $3$ .

$15 y + 3 \cdot - 3 = 16 y$

Step 1.4.2

Multiply $3$ by $- 3$ .

$15 y - 9 = 16 y$

Step 2

Move all terms containing $y$ to the left side of the equation.

Tap for more steps...

Step 2.1

Subtract $16 y$ from both sides of the equation.

$15 y - 9 - 16 y = 0$

Step 2.2

Subtract $16 y$ from $15 y$ .

$- y - 9 = 0$

Step 3

Add $9$ to both sides of the equation.

$- y = 9$

Step 4

Divide each term in $- y = 9$ by $- 1$ and simplify.

Tap for more steps...

Step 4.1

Divide each term in $- y = 9$ by $- 1$ .

$\frac{- y}{- 1} = \frac{9}{- 1}$

Step 4.2

Simplify the left side.

Tap for more steps...

Step 4.2.1

Dividing two negative values results in a positive value.

$\frac{y}{1} = \frac{9}{- 1}$

Step 4.2.2

Divide $y$ by $1$ .

$y = \frac{9}{- 1}$

Step 4.3

Simplify the right side.

Tap for more steps...

Step 4.3.1

Divide $9$ by $- 1$ .

$y = - 9$