Basic Math Examples

$- 16 \leq - 28 - 6 y$

Step 1

Rewrite so $y$ is on the left side of the inequality.

$- 28 - 6 y \geq - 16$

Step 2

Move all terms not containing $y$ to the right side of the inequality.

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Step 2.1

Add $28$ to both sides of the inequality.

$- 6 y \geq - 16 + 28$

Step 2.2

Add $- 16$ and $28$ .

$- 6 y \geq 12$

Step 3

Divide each term in $- 6 y \geq 12$ by $- 6$ and simplify.

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Step 3.1

Divide each term in $- 6 y \geq 12$ by $- 6$ . When multiplying or dividing both sides of an inequality by a negative value, flip the direction of the inequality sign.

$\frac{- 6 y}{- 6} \leq \frac{12}{- 6}$

Step 3.2

Simplify the left side.

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Step 3.2.1

Cancel the common factor of $- 6$ .

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Step 3.2.1.1

Cancel the common factor.

$\frac{- 6 y}{- 6} \leq \frac{12}{- 6}$

Step 3.2.1.2

Divide $y$ by $1$ .

$y \leq \frac{12}{- 6}$

Step 3.3

Simplify the right side.

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Step 3.3.1

Divide $12$ by $- 6$ .

$y \leq - 2$

Step 4

The result can be shown in multiple forms.

Inequality Form:

$y \leq - 2$

Interval Notation:

$(- \infty, - 2]$