Solve the Inequality for y 2(y-6)+13>15

$2 (y - 6) + 13 > 15$

Step 1

Simplify $2 (y - 6) + 13$ .

Simplify each term.

Apply the distributive property.

$2 y + 2 \cdot - 6 + 13 > 15$

Multiply $2$ by $- 6$ .

$2 y - 12 + 13 > 15$

Add $- 12$ and $13$ .

$2 y + 1 > 15$

Step 2

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

Subtract $1$ from both sides of the inequality.

$2 y > 15 - 1$

Subtract $1$ from $15$ .

$2 y > 14$

Step 3

Divide each term in $2 y > 14$ by $2$ and simplify.

Divide each term in $2 y > 14$ by $2$ .

$\frac{2 y}{2} > \frac{14}{2}$

Simplify the left side.

Cancel the common factor of $2$ .

Cancel the common factor.

$\frac{2 y}{2} > \frac{14}{2}$

Divide $y$ by $1$ .

$y > \frac{14}{2}$

Simplify the right side.

Divide $14$ by $2$ .

$y > 7$

Step 4

The result can be shown in multiple forms.

Inequality Form:

$y > 7$

Interval Notation:

$(7, \infty)$