Chemistry Examples

$- B (- 2 x - y - (3 x - (4 x r y - 3) - y) - 7)$

Step 1

Simplify each term.

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Step 1.1

Simplify each term.

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Step 1.1.1

Apply the distributive property.

$- B (- 2 x - y - (3 x - (4 x r y) - - 3 - y) - 7)$

Step 1.1.2

Multiply $4$ by $- 1$ .

$- B (- 2 x - y - (3 x - 4 (x r y) - - 3 - y) - 7)$

Step 1.1.3

Multiply $- 1$ by $- 3$ .

$- B (- 2 x - y - (3 x - 4 (x r y) + 3 - y) - 7)$

Step 1.1.4

Remove parentheses.

$- B (- 2 x - y - (3 x - 4 x r y + 3 - y) - 7)$

Step 1.2

Apply the distributive property.

$- B (- 2 x - y - (3 x) - (- 4 x r y) - 1 \cdot 3 - - y - 7)$

Step 1.3

Simplify.

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Step 1.3.1

Multiply $3$ by $- 1$ .

$- B (- 2 x - y - 3 x - (- 4 x r y) - 1 \cdot 3 - - y - 7)$

Step 1.3.2

Multiply $- 4$ by $- 1$ .

$- B (- 2 x - y - 3 x + 4 (x r y) - 1 \cdot 3 - - y - 7)$

Step 1.3.3

Multiply $- 1$ by $3$ .

$- B (- 2 x - y - 3 x + 4 (x r y) - 3 - - y - 7)$

Step 1.3.4

Multiply $- - y$ .

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Step 1.3.4.1

Multiply $- 1$ by $- 1$ .

$- B (- 2 x - y - 3 x + 4 (x r y) - 3 + 1 y - 7)$

Step 1.3.4.2

Multiply $y$ by $1$ .

$- B (- 2 x - y - 3 x + 4 (x r y) - 3 + y - 7)$

Step 1.4

Remove parentheses.

$- B (- 2 x - y - 3 x + 4 x r y - 3 + y - 7)$

Step 2

Simplify terms.

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Step 2.1

Combine the opposite terms in $- 2 x - y - 3 x + 4 x r y - 3 + y - 7$ .

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Step 2.1.1

Add $- y$ and $y$ .

$- B (- 2 x - 3 x + 4 x r y - 3 + 0 - 7)$

Step 2.1.2

Add $- 2 x - 3 x + 4 x r y - 3$ and $0$ .

$- B (- 2 x - 3 x + 4 x r y - 3 - 7)$

Step 2.2

Subtract $3 x$ from $- 2 x$ .

$- B (- 5 x + 4 x r y - 3 - 7)$

Step 2.3

Subtract $7$ from $- 3$ .

$- B (- 5 x + 4 x r y - 10)$

Step 2.4

Apply the distributive property.

$- B (- 5 x) - B (4 x r y) - B \cdot - 10$

Step 3

Simplify.

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Step 3.1

Rewrite using the commutative property of multiplication.

$- 1 \cdot - 5 B x - B (4 x r y) - B \cdot - 10$

Step 3.2

Multiply $4$ by $- 1$ .

$- 1 \cdot - 5 B x - 4 B (x r y) - B \cdot - 10$

Step 3.3

Multiply $- 10$ by $- 1$ .

$- 1 \cdot - 5 B x - 4 B (x r y) + 10 B$

Step 4

Multiply $- 1$ by $- 5$ .

$5 B x - 4 B x r y + 10 B$

Step 5

Simplify the expression.

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Step 5.1

Move $B$ .

$5 x B - 4 B x r y + 10 B$

Step 5.2

Move $B$ .

$5 x B - 4 x r y B + 10 B$

Step 5.3

Move $x$ .

$5 x B - 4 r x y B + 10 B$

Step 5.4

Reorder $5 x B$ and $- 4 r x y B$ .

$- 4 r x y B + 5 x B + 10 B$