9y + 2(y + 6) > 5y – 24
Solving for y:
Use distributive property on the left hand side:
9y + 2y + 12 > 5y - 24
Add like terms on the left hand side:
11y + 12 > 5y - 24
Subtract 5y from both sides:
11y + 12 - 5y > 5y - 24 - 5y
6y + 12 > -24
Subtract 12 from both sides:
6y + 12 - 12 > -24 - 12
6y > -36
Divide both sides by 6:
6y/6 > -36/6
y > -6
The solution in interval notation is:
(-6, ∞)