Algebra Examples

$- 30 + 4 y > 7 x + 9 y$

Step 1

Move all terms containing $y$ to the left side of the inequality.

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Step 1.1

Subtract $9 y$ from both sides of the inequality.

$- 30 + 4 y - 9 y > 7 x$

Step 1.2

Subtract $9 y$ from $4 y$ .

$- 30 - 5 y > 7 x$

Step 2

Add $30$ to both sides of the inequality.

$- 5 y > 7 x + 30$

Step 3

Divide each term in $- 5 y > 7 x + 30$ by $- 5$ and simplify.

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Step 3.1

Divide each term in $- 5 y > 7 x + 30$ by $- 5$ . When multiplying or dividing both sides of an inequality by a negative value, flip the direction of the inequality sign.

$\frac{- 5 y}{- 5} < \frac{7 x}{- 5} + \frac{30}{- 5}$

Step 3.2

Simplify the left side.

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Step 3.2.1

Cancel the common factor of $- 5$ .

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Step 3.2.1.1

Cancel the common factor.

$\frac{- 5 y}{- 5} < \frac{7 x}{- 5} + \frac{30}{- 5}$

Step 3.2.1.2

Divide $y$ by $1$ .

$y < \frac{7 x}{- 5} + \frac{30}{- 5}$

Step 3.3

Simplify the right side.

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Step 3.3.1

Simplify each term.

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Step 3.3.1.1

Move the negative in front of the fraction.

$y < - \frac{7 x}{5} + \frac{30}{- 5}$

Step 3.3.1.2

Divide $30$ by $- 5$ .

$y < - \frac{7 x}{5} - 6$