Basic Math Examples

$33 y - 66 = 11 (3 y - 6)$

Step 1

Simplify $11 (3 y - 6)$ .

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Step 1.1

Rewrite.

$33 y - 66 = 0 + 0 + 11 (3 y - 6)$

Step 1.2

Simplify by adding zeros.

$33 y - 66 = 11 (3 y - 6)$

Step 1.3

Apply the distributive property.

$33 y - 66 = 11 (3 y) + 11 \cdot - 6$

Step 1.4

Multiply.

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Step 1.4.1

Multiply $3$ by $11$ .

$33 y - 66 = 33 y + 11 \cdot - 6$

Step 1.4.2

Multiply $11$ by $- 6$ .

$33 y - 66 = 33 y - 66$

Step 2

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

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Step 2.1

Subtract $33 y$ from both sides of the equation.

$33 y - 66 - 33 y = - 66$

Step 2.2

Combine the opposite terms in $33 y - 66 - 33 y$ .

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Step 2.2.1

Subtract $33 y$ from $33 y$ .

$0 - 66 = - 66$

Step 2.2.2

Subtract $66$ from $0$ .

$- 66 = - 66$

Step 3

Since $- 66 = - 66$ , the equation will always be true for any value of $y$ .

All real numbers

Step 4

The result can be shown in multiple forms.

All real numbers

Interval Notation:

$(- \infty, \infty)$