Solve for y 9y+26<5y-6

$9 y + 26 < 5 y - 6$

Step 1

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

Subtract $5 y$ from both sides of the inequality.

$9 y + 26 - 5 y < - 6$

Subtract $5 y$ from $9 y$ .

$4 y + 26 < - 6$

Step 2

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

Subtract $26$ from both sides of the inequality.

$4 y < - 6 - 26$

Subtract $26$ from $- 6$ .

$4 y < - 32$

Step 3

Divide each term in $4 y < - 32$ by $4$ and simplify.

Divide each term in $4 y < - 32$ by $4$ .

$\frac{4 y}{4} < \frac{- 32}{4}$

Simplify the left side.

Cancel the common factor of $4$ .

Cancel the common factor.

$\frac{4 y}{4} < \frac{- 32}{4}$

Divide $y$ by $1$ .

$y < \frac{- 32}{4}$

Simplify the right side.

Divide $- 32$ by $4$ .

$y < - 8$

Step 4

The result can be shown in multiple forms.

Inequality Form:

$y < - 8$

Interval Notation:

$(- \infty, - 8)$