Answer:
[tex]y = 7[/tex]
Step-by-step explanation:
Hi there! I'm glad I was able to help you!
To solve for the temporarily unknown variable requires two steps, but I'll break them down for you so that it's easier to understand.
STEP 1: Subtract 1 from both sides of the equation. We do this so that we aren't left with any unknown numbers on either side. This makes it harder for us to solve for the unknown variable with the +1 being there.
[tex]3y + 1 = 22[/tex]
[tex]3y + 1 - 1\\22 - 1[/tex]
Now we are left with our equation that looks like this:
[tex]3y = 21[/tex]
The +1 on the left side of the equation has been canceled, but the rule we use in math states that whatever we do to one side of the equation must be done to the other, to keep things even.
STEP 2: Divide both sides of the equation by 3. Yay, more canceling!
Like we did before, we do this so we aren't left with any "stray" numbers on either side of the equation. This cancels out the 3's on the left side of the equation, leaving us with just our variable, y.
[tex]\frac{3y}{3} = \frac{21}{3}[/tex]
[tex]y =7[/tex]
Our final answer is correct, but just in case you want to double check it so you're 100% certain, all you have to do is replace the variable in the equation by our new answer, and check and see if it's a true statement.
[tex]3 * 7 = 21\\21 + 1 = 22[/tex]
I hope this helped you! Leave a comment below if I can assist with anything else! I'd love to help! :)
