ANSWER:
y = -3
EXPLANATION:
To write this down as an equation, we have:
5 less than a number = y - 5
where y is the unknown number
Is equivalent to 1 more than three times the number:
y - 5 = 1 + 3y
Let's solve for y:
Add 5 to both sides:
y - 5 + 5 = 1 + 3y + 5
y = 1 + 5 + 3y
y = 6 + 3y
Subtract 3y from both sides:
y -3y = 6 + 3y - 3y
-2y = 6
Divide both sides by -2:
[tex]\begin{gathered} \frac{-2y}{-2}\text{ = }\frac{6}{-2} \\ \\ y\text{ = -3} \end{gathered}[/tex]