Answer: Yes it is a solution
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Reason:
Let's replace y with 7 and simplify as much as possible.
17 ≥ 2y
17 ≥ 2*7
17 ≥ 14
We get a true statement, which confirms that y = 7 is indeed a solution.
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Another approach:
Let's isolate y. We divide both sides by 2
17 ≥ 2y
17/2 ≥ 2y/2
8.5 ≥ y
y ≤ 8.5
Anything that is 8.5 or smaller can replace y to be a solution.
That fits for y = 7, so this is another way to see how y = 7 is a solution.
Side note: The graph on the number line will have a closed fill in circle at 8.5 and shading to the left.