Basic Math Examples

$4 - 5 (3 y - 4) - 2 (9 - 6 y) + 8 (1 - 2 y)$

Step 1

Simplify each term.

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Step 1.1

Apply the distributive property.

$4 - 5 (3 y) - 5 \cdot - 4 - 2 (9 - 6 y) + 8 (1 - 2 y)$

Step 1.2

Multiply $3$ by $- 5$ .

$4 - 15 y - 5 \cdot - 4 - 2 (9 - 6 y) + 8 (1 - 2 y)$

Step 1.3

Multiply $- 5$ by $- 4$ .

$4 - 15 y + 20 - 2 (9 - 6 y) + 8 (1 - 2 y)$

Step 1.4

Apply the distributive property.

$4 - 15 y + 20 - 2 \cdot 9 - 2 (- 6 y) + 8 (1 - 2 y)$

Step 1.5

Multiply $- 2$ by $9$ .

$4 - 15 y + 20 - 18 - 2 (- 6 y) + 8 (1 - 2 y)$

Step 1.6

Multiply $- 6$ by $- 2$ .

$4 - 15 y + 20 - 18 + 12 y + 8 (1 - 2 y)$

Step 1.7

Apply the distributive property.

$4 - 15 y + 20 - 18 + 12 y + 8 \cdot 1 + 8 (- 2 y)$

Step 1.8

Multiply $8$ by $1$ .

$4 - 15 y + 20 - 18 + 12 y + 8 + 8 (- 2 y)$

Step 1.9

Multiply $- 2$ by $8$ .

$4 - 15 y + 20 - 18 + 12 y + 8 - 16 y$

Step 2

Simplify by adding terms.

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Step 2.1

Add $4$ and $20$ .

$- 15 y + 24 - 18 + 12 y + 8 - 16 y$

Step 2.2

Add $- 15 y$ and $12 y$ .

$- 3 y + 24 - 18 + 8 - 16 y$

Step 2.3

Subtract $16 y$ from $- 3 y$ .

$- 19 y + 24 - 18 + 8$

Step 2.4

Simplify by adding and subtracting.

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Step 2.4.1

Subtract $18$ from $24$ .

$- 19 y + 6 + 8$

Step 2.4.2

Add $6$ and $8$ .

$- 19 y + 14$