Pre-Algebra Examples

$5 y - 7 y > 35$

Step 1

Subtract $7 y$ from $5 y$ .

$- 2 y > 35$

Step 2

Divide each term in $- 2 y > 35$ by $- 2$ and simplify.

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Step 2.1

Divide each term in $- 2 y > 35$ by $- 2$ . When multiplying or dividing both sides of an inequality by a negative value, flip the direction of the inequality sign.

$\frac{- 2 y}{- 2} < \frac{35}{- 2}$

Step 2.2

Simplify the left side.

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Step 2.2.1

Cancel the common factor of $- 2$ .

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Step 2.2.1.1

Cancel the common factor.

$\frac{- 2 y}{- 2} < \frac{35}{- 2}$

Step 2.2.1.2

Divide $y$ by $1$ .

$y < \frac{35}{- 2}$

Step 2.3

Simplify the right side.

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Step 2.3.1

Move the negative in front of the fraction.

$y < - \frac{35}{2}$

Step 3