Algebra Examples

$y (- 2 - (y - 4))$

Step 1

Simplify each term.

Tap for more steps...

Step 1.1

Apply the distributive property.

$y (- 2 - y - - 4)$

Step 1.2

Multiply $- 1$ by $- 4$ .

$y (- 2 - y + 4)$

Step 2

Simplify by multiplying through.

Tap for more steps...

Step 2.1

Add $- 2$ and $4$ .

$y (- y + 2)$

Step 2.2

Apply the distributive property.

$y (- y) + y \cdot 2$

Step 2.3

Reorder.

Tap for more steps...

Step 2.3.1

Rewrite using the commutative property of multiplication.

$- y \cdot y + y \cdot 2$

Step 2.3.2

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

$- y \cdot y + 2 \cdot y$

Step 3

Multiply $y$ by $y$ by adding the exponents.

Tap for more steps...

Step 3.1

Move $y$ .

$- (y \cdot y) + 2 \cdot y$

Step 3.2

Multiply $y$ by $y$ .

$- y^{2} + 2 \cdot y$

$- y^{2} + 2 y$