Question

solve the inequality for y.
2y + 6 < 62 - 5y
simplify your answer as much as possib

Explanation:

Step1: Add 5y to both sides

To get all the y terms on one side, we add \(5y\) to both sides of the inequality \(2y + 6<62 - 5y\).
\(2y+5y + 6<62-5y + 5y\)
\(7y + 6<62\)

Step2: Subtract 6 from both sides

Next, we isolate the term with y by subtracting 6 from both sides.
\(7y+6 - 6<62 - 6\)
\(7y<56\)

Step3: Divide both sides by 7

Finally, we solve for y by dividing both sides by 7.
\(\frac{7y}{7}<\frac{56}{7}\)
\(y < 8\)

Answer:

\(y < 8\)