Pre-Algebra Examples

$- 2 (3 y - 3) + 6 y = 6$

Step 1

Simplify $- 2 (3 y - 3) + 6 y$ .

Tap for more steps...

Step 1.1

Simplify each term.

Tap for more steps...

Step 1.1.1

Apply the distributive property.

$- 2 (3 y) - 2 \cdot - 3 + 6 y = 6$

Step 1.1.2

Multiply $3$ by $- 2$ .

$- 6 y - 2 \cdot - 3 + 6 y = 6$

Step 1.1.3

Multiply $- 2$ by $- 3$ .

$- 6 y + 6 + 6 y = 6$

Step 1.2

Combine the opposite terms in $- 6 y + 6 + 6 y$ .

Tap for more steps...

Step 1.2.1

Add $- 6 y$ and $6 y$ .

$0 + 6 = 6$

Step 1.2.2

Add $0$ and $6$ .

$6 = 6$

Step 2

Since $6 = 6$ , the equation will always be true for any value of $y$ .

All real numbers

Step 3

The result can be shown in multiple forms.

All real numbers

Interval Notation:

$(- \infty, \infty)$