Basic Math Examples

$- \frac{6 b - 9 y}{4 b} - \frac{2 b + 10 y}{4 b}$

Step 1

Combine the numerators over the common denominator.

$\frac{- (6 b - 9 y) - (2 b + 10 y)}{4 b}$

Step 2

Simplify each term.

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Step 2.1

Apply the distributive property.

$\frac{- (6 b) - (- 9 y) - (2 b + 10 y)}{4 b}$

Step 2.2

Multiply $6$ by $- 1$ .

$\frac{- 6 b - (- 9 y) - (2 b + 10 y)}{4 b}$

Step 2.3

Multiply $- 9$ by $- 1$ .

$\frac{- 6 b + 9 y - (2 b + 10 y)}{4 b}$

Step 2.4

Apply the distributive property.

$\frac{- 6 b + 9 y - (2 b) - (10 y)}{4 b}$

Step 2.5

Multiply $2$ by $- 1$ .

$\frac{- 6 b + 9 y - 2 b - (10 y)}{4 b}$

Step 2.6

Multiply $10$ by $- 1$ .

$\frac{- 6 b + 9 y - 2 b - 10 y}{4 b}$

$\frac{- 6 b + 9 y - 2 b - 10 y}{4 b}$

Step 3

Simplify terms.

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Step 3.1

Subtract $2 b$ from $- 6 b$ .

$\frac{- 8 b + 9 y - 10 y}{4 b}$

Step 3.2

Subtract $10 y$ from $9 y$ .

$\frac{- 8 b - y}{4 b}$

Step 3.3

Factor $- 1$ out of $- 8 b$ .

$\frac{- (8 b) - y}{4 b}$

Step 3.4

Factor $- 1$ out of $- y$ .

$\frac{- (8 b) - (y)}{4 b}$

Step 3.5

Factor $- 1$ out of $- (8 b) - (y)$ .

$\frac{- (8 b + y)}{4 b}$

Step 3.6

Simplify the expression.

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Step 3.6.1

Rewrite $- (8 b + y)$ as $- 1 (8 b + y)$ .

$\frac{- 1 (8 b + y)}{4 b}$

Step 3.6.2

Move the negative in front of the fraction.

$- \frac{8 b + y}{4 b}$

$- \frac{8 b + y}{4 b}$

$- \frac{8 b + y}{4 b}$

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