Basic Math Examples

- 3 (2 y - 4) - y = - 3 (y - 3)

$- 3 (2 y - 4) - y = - 3 (y - 3)$

Step 1

Simplify

- 3 (2 y - 4) - y

$- 3 (2 y - 4) - y$ .

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Step 1.1

Simplify each term.

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Step 1.1.1

Apply the distributive property.

- 3 (2 y) - 3 \cdot - 4 - y = - 3 (y - 3)

$- 3 (2 y) - 3 \cdot - 4 - y = - 3 (y - 3)$

Step 1.1.2

Multiply

2

$2$ by

- 3

$- 3$ .

- 6 y - 3 \cdot - 4 - y = - 3 (y - 3)

$- 6 y - 3 \cdot - 4 - y = - 3 (y - 3)$

Step 1.1.3

Multiply

- 3

$- 3$ by

- 4

$- 4$ .

- 6 y + 12 - y = - 3 (y - 3)

$- 6 y + 12 - y = - 3 (y - 3)$

- 6 y + 12 - y = - 3 (y - 3)

$- 6 y + 12 - y = - 3 (y - 3)$

Step 1.2

Subtract

y

$y$ from

- 6 y

$- 6 y$ .

- 7 y + 12 = - 3 (y - 3)

$- 7 y + 12 = - 3 (y - 3)$

- 7 y + 12 = - 3 (y - 3)

$- 7 y + 12 = - 3 (y - 3)$

Step 2

Simplify

- 3 (y - 3)

$- 3 (y - 3)$ .

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Step 2.1

Apply the distributive property.

- 7 y + 12 = - 3 y - 3 \cdot - 3

$- 7 y + 12 = - 3 y - 3 \cdot - 3$

Step 2.2

Multiply

- 3

$- 3$ by

- 3

$- 3$ .

- 7 y + 12 = - 3 y + 9

$- 7 y + 12 = - 3 y + 9$

- 7 y + 12 = - 3 y + 9

$- 7 y + 12 = - 3 y + 9$

Step 3

Move all terms containing

y

$y$ to the left side of the equation.

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Step 3.1

Add

3 y

$3 y$ to both sides of the equation.

- 7 y + 12 + 3 y = 9

$- 7 y + 12 + 3 y = 9$

Step 3.2

Add

- 7 y

$- 7 y$ and

3 y

$3 y$ .

- 4 y + 12 = 9

$- 4 y + 12 = 9$

- 4 y + 12 = 9

$- 4 y + 12 = 9$

Step 4

Move all terms not containing

y

$y$ to the right side of the equation.

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Step 4.1

Subtract

12

$12$ from both sides of the equation.

- 4 y = 9 - 12

$- 4 y = 9 - 12$

Step 4.2

Subtract

12

$12$ from

9

$9$ .

- 4 y = - 3

$- 4 y = - 3$

- 4 y = - 3

$- 4 y = - 3$

Step 5

Divide each term in

- 4 y = - 3

$- 4 y = - 3$ by

- 4

$- 4$ and simplify.

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Step 5.1

Divide each term in

- 4 y = - 3

$- 4 y = - 3$ by

- 4

$- 4$ .

\frac{- 4 y}{- 4} = \frac{- 3}{- 4}

$\frac{- 4 y}{- 4} = \frac{- 3}{- 4}$

Step 5.2

Simplify the left side.

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Step 5.2.1

Cancel the common factor of

- 4

$- 4$ .

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Step 5.2.1.1

Cancel the common factor.

$\frac{- 4 y}{- 4} = \frac{- 3}{- 4}$

Step 5.2.1.2

Divide

$y$ by

$1$ .

$y = \frac{- 3}{- 4}$

$y = \frac{- 3}{- 4}$

$y = \frac{- 3}{- 4}$

Step 5.3

Simplify the right side.

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Step 5.3.1

Dividing two negative values results in a positive value.

$y = \frac{3}{4}$

$y = \frac{3}{4}$

$y = \frac{3}{4}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$y = \frac{3}{4}$

Decimal Form:

$y = 0.75$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$