Basic Math Examples

$- (2 s^{2} y + 3 z) + 3 z - 5 s^{2} y$

Step 1

Simplify each term.

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Step 1.1

Apply the distributive property.

$- (2 s^{2} y) - (3 z) + 3 z - 5 s^{2} y$

Step 1.2

Multiply $2$ by $- 1$ .

$- 2 (s^{2} y) - (3 z) + 3 z - 5 s^{2} y$

Step 1.3

Multiply $3$ by $- 1$ .

$- 2 s^{2} y - 3 z + 3 z - 5 s^{2} y$

Step 2

Simplify by adding terms.

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Step 2.1

Combine the opposite terms in $- 2 s^{2} y - 3 z + 3 z - 5 s^{2} y$ .

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Step 2.1.1

Add $- 3 z$ and $3 z$ .

$- 2 s^{2} y + 0 - 5 s^{2} y$

Step 2.1.2

Add $- 2 s^{2} y$ and $0$ .

$- 2 s^{2} y - 5 s^{2} y$

Step 2.2

Subtract $5 s^{2} y$ from $- 2 s^{2} y$ .

$- 7 s^{2} y$