#### Answer

$y\geq\frac{-17}{2}$

#### Work Step by Step

Write out the inequality
$5(y-2)+1\leq7y+8$
Essentially when solving an inequality it is the same as an equation. The one exception to this would be when you multiply or divide by a negative number you must reverse the inequality (however this doesn't apply to this problem)
Distribute the 5 on the left side of the inequality
$5y-10+1\leq7y+8$
Simplify
$5y-9\leq7y+8$
Combine like terms
$-17\leq2y$
Isolate y
$y\geq\frac{-17}{2}$