Algebra Examples

$- y^{2} + 4 x^{2} - y - 7 y^{2} + 3 y^{2} - 4 x^{2} - 2 x^{2}$

Step 1

Combine the opposite terms in $- y^{2} + 4 x^{2} - y - 7 y^{2} + 3 y^{2} - 4 x^{2} - 2 x^{2}$ .

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Step 1.1

Subtract $4 x^{2}$ from $4 x^{2}$ .

$- y^{2} - y - 7 y^{2} + 3 y^{2} + 0 - 2 x^{2}$

Step 1.2

Add $- y^{2} - y - 7 y^{2} + 3 y^{2}$ and $0$ .

$- y^{2} - y - 7 y^{2} + 3 y^{2} - 2 x^{2}$

Step 2

Subtract $7 y^{2}$ from $- y^{2}$ .

$- 8 y^{2} - y + 3 y^{2} - 2 x^{2}$

Step 3

Add $- 8 y^{2}$ and $3 y^{2}$ .

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

Step 4

Simplify the expression.

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Step 4.1

Move $- y$ .

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

Step 4.2

Reorder $- 5 y^{2}$ and $- 2 x^{2}$ .

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