Graph -6(4y-3)>=-102

$- 6 (4 y - 3) \geq - 102$

Step 1

Divide each term in $- 6 (4 y - 3) \geq - 102$ by $- 6$ and simplify.

Divide each term in $- 6 (4 y - 3) \geq - 102$ by $- 6$ . When multiplying or dividing both sides of an inequality by a negative value, flip the direction of the inequality sign.

$\frac{- 6 (4 y - 3)}{- 6} \leq \frac{- 102}{- 6}$

Simplify the left side.

Cancel the common factor of $- 6$ .

Cancel the common factor.

$\frac{- 6 (4 y - 3)}{- 6} \leq \frac{- 102}{- 6}$

Divide $4 y - 3$ by $1$ .

$4 y - 3 \leq \frac{- 102}{- 6}$

Simplify the right side.

Divide $- 102$ by $- 6$ .

$4 y - 3 \leq 17$

Step 2

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

Add $3$ to both sides of the inequality.

$4 y \leq 17 + 3$

Add $17$ and $3$ .

$4 y \leq 20$

Step 3

Divide each term in $4 y \leq 20$ by $4$ and simplify.

Divide each term in $4 y \leq 20$ by $4$ .

$\frac{4 y}{4} \leq \frac{20}{4}$

Simplify the left side.

Cancel the common factor of $4$ .

Cancel the common factor.

$\frac{4 y}{4} \leq \frac{20}{4}$

Divide $y$ by $1$ .

$y \leq \frac{20}{4}$

Simplify the right side.

Divide $20$ by $4$ .

$y \leq 5$

Step 4

Graph -6(4y-3)>=-102

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