Simplify (y^2-5y-3)-(2y^2-6y-8)

$(y^{2} - 5 y - 3) - (2 y^{2} - 6 y - 8)$

Simplify each term.

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Apply the distributive property.

$y^{2} - 5 y - 3 - (2 y^{2}) - (- 6 y) - - 8$

Simplify.

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Multiply $2$ by $- 1$ .

$y^{2} - 5 y - 3 - 2 y^{2} - (- 6 y) - - 8$

Multiply $- 6$ by $- 1$ .

$y^{2} - 5 y - 3 - 2 y^{2} + 6 y - - 8$

Multiply $- 1$ by $- 8$ .

$y^{2} - 5 y - 3 - 2 y^{2} + 6 y + 8$

Simplify by adding terms.

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

$- y^{2} - 5 y - 3 + 6 y + 8$

Add $- 5 y$ and $6 y$ .

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

Add $- 3$ and $8$ .

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

Simplify (y^2-5y-3)-(2y^2-6y-8)

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