Basic Math Examples

$7 b - (2 b + 4 y) - (4 b - 6 y) - (b + 2 y)$

Step 1

Simplify each term.

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Step 1.1

Apply the distributive property.

$7 b - (2 b) - (4 y) - (4 b - 6 y) - (b + 2 y)$

Step 1.2

Multiply $2$ by $- 1$ .

$7 b - 2 b - (4 y) - (4 b - 6 y) - (b + 2 y)$

Step 1.3

Multiply $4$ by $- 1$ .

$7 b - 2 b - 4 y - (4 b - 6 y) - (b + 2 y)$

Step 1.4

Apply the distributive property.

$7 b - 2 b - 4 y - (4 b) - (- 6 y) - (b + 2 y)$

Step 1.5

Multiply $4$ by $- 1$ .

$7 b - 2 b - 4 y - 4 b - (- 6 y) - (b + 2 y)$

Step 1.6

Multiply $- 6$ by $- 1$ .

$7 b - 2 b - 4 y - 4 b + 6 y - (b + 2 y)$

Step 1.7

Apply the distributive property.

$7 b - 2 b - 4 y - 4 b + 6 y - b - (2 y)$

Step 1.8

Multiply $2$ by $- 1$ .

$7 b - 2 b - 4 y - 4 b + 6 y - b - 2 y$

$7 b - 2 b - 4 y - 4 b + 6 y - b - 2 y$

Step 2

Simplify by adding terms.

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Step 2.1

Subtract $2 b$ from $7 b$ .

$5 b - 4 y - 4 b + 6 y - b - 2 y$

Step 2.2

Subtract $4 b$ from $5 b$ .

$b - 4 y + 6 y - b - 2 y$

Step 2.3

Combine the opposite terms in $b - 4 y + 6 y - b - 2 y$ .

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Step 2.3.1

Subtract $b$ from $b$ .

$- 4 y + 6 y + 0 - 2 y$

Step 2.3.2

Add $- 4 y + 6 y$ and $0$ .

$- 4 y + 6 y - 2 y$

$- 4 y + 6 y - 2 y$

Step 2.4

Add $- 4 y$ and $6 y$ .

$2 y - 2 y$

Step 2.5

Subtract $2 y$ from $2 y$ .

$0$

$0$

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