First, let's use the Distributive Property to make our equation easier to solve. Remember that the Distributive Property says the following:
[tex]a(b + c) = ab + ac[/tex]
Using this, we can multiply the 7 out to the [tex]y[/tex] and 3. This gives us:
[tex]7y + 21 = 5y + 8[/tex]
Now, let's solve for [tex]y[/tex]:
[tex]2y + 21 = 8[/tex]
[tex]2y = -13[/tex]
[tex]y = - \dfrac{13}{2}[/tex]
We can see that there is one solution for this equation because [tex]y[/tex] is equal to one definite value after solving. Thus, our answer is A, one solution.
