Solve the Inequality for y 2x-5y>8

$2 x - 5 y > 8$

Subtract $2 x$ from both sides of the inequality.

$- 5 y > 8 - 2 x$

Divide each term in $- 5 y > 8 - 2 x$ by $- 5$ and simplify.

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Divide each term in $- 5 y > 8 - 2 x$ by $- 5$ . When multiplying or dividing both sides of an inequality by a negative value, flip the direction of the inequality sign.

$\frac{- 5 y}{- 5} < \frac{8}{- 5} + \frac{- 2 x}{- 5}$

Simplify the left side.

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Cancel the common factor of $- 5$ .

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Cancel the common factor.

$\frac{- 5 y}{- 5} < \frac{8}{- 5} + \frac{- 2 x}{- 5}$

Divide $y$ by $1$ .

$y < \frac{8}{- 5} + \frac{- 2 x}{- 5}$

Simplify the right side.

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Simplify each term.

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Move the negative in front of the fraction.

$y < - \frac{8}{5} + \frac{- 2 x}{- 5}$

Dividing two negative values results in a positive value.

$y < - \frac{8}{5} + \frac{2 x}{5}$

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