Solve for y -18<4y+6<=26

$- 18 < 4 y + 6 \leq 26$

Step 1

Move all terms not containing $y$ from the center section of the inequality.

Subtract $6$ from each section of the inequality because it does not contain the variable we are trying to solve for.

$- 18 - 6 < 4 y \leq 26 - 6$

Subtract $6$ from $- 18$ .

$- 24 < 4 y \leq 26 - 6$

Subtract $6$ from $26$ .

$- 24 < 4 y \leq 20$

Step 2

Divide each term in the inequality by $4$ .

$\frac{- 24}{4} < \frac{4 y}{4} \leq \frac{20}{4}$

Step 3

Divide $- 24$ by $4$ .

$- 6 < \frac{4 y}{4} \leq \frac{20}{4}$

Step 4

Cancel the common factor of $4$ .

Cancel the common factor.

$- 6 < \frac{4 y}{4} \leq \frac{20}{4}$

Divide $y$ by $1$ .

$- 6 < y \leq \frac{20}{4}$

Step 5

Divide $20$ by $4$ .

$- 6 < y \leq 5$

Step 6

The result can be shown in multiple forms.

Inequality Form:

$- 6 < y \leq 5$

Interval Notation:

$(- 6, 5]$

Step 7