Algebra Examples

$- 6 (y + 2) > 2 (- 3 y + 12)$

Step 1

Simplify $- 6 (y + 2)$ .

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Step 1.1

Rewrite.

$0 + 0 - 6 (y + 2) > 2 (- 3 y + 12)$

Step 1.2

Simplify by adding zeros.

$- 6 (y + 2) > 2 (- 3 y + 12)$

Step 1.3

Apply the distributive property.

$- 6 y - 6 \cdot 2 > 2 (- 3 y + 12)$

Step 1.4

Multiply $- 6$ by $2$ .

$- 6 y - 12 > 2 (- 3 y + 12)$

Step 2

Simplify $2 (- 3 y + 12)$ .

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Step 2.1

Apply the distributive property.

$- 6 y - 12 > 2 (- 3 y) + 2 \cdot 12$

Step 2.2

Multiply.

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Step 2.2.1

Multiply $- 3$ by $2$ .

$- 6 y - 12 > - 6 y + 2 \cdot 12$

Step 2.2.2

Multiply $2$ by $12$ .

$- 6 y - 12 > - 6 y + 24$

Step 3

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

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Step 3.1

Add $6 y$ to both sides of the inequality.

$- 6 y - 12 + 6 y > 24$

Step 3.2

Combine the opposite terms in $- 6 y - 12 + 6 y$ .

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Step 3.2.1

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

$0 - 12 > 24$

Step 3.2.2

Subtract $12$ from $0$ .

$- 12 > 24$

Step 4

Since $- 12 < 24$ , there are no solutions.

No solution