How do you solve the equation 6y-16=44?

Feb 14, 2017

See the entire solution process below:

Explanation:

Step 1) Add $\textcolor{red}{16}$ to each side of the equation to isolate the $y$ term while keeping the equation balanced:

$6 y - 16 + \textcolor{red}{16} = 44 + \textcolor{red}{16}$

$6 y - 0 = 60$

$6 y = 60$

Step 2) Divide each side of the equation by $\textcolor{red}{6}$ to solve for $y$ while keeping the equation balanced:

$\frac{6 y}{\textcolor{red}{6}} = \frac{60}{\textcolor{red}{6}}$

$\frac{\textcolor{red}{\cancel{\textcolor{b l a c k}{6}}} y}{\cancel{\textcolor{red}{6}}} = 10$

$y = 10$

Feb 14, 2017

y = 10

Explanation:

6y - 16 = 44

the idea of simplification is to get the letter on its own, so in this case you want y = something.

the first part of this question is to get 6y on its own, so you add 16 to both sides, meanign you are left with 6y on one side, then on the other you do simple addition and add 44 adn 16 giving you 60.

Finally all you have to do is divide by 6 to leave you with y but whatever you do to one side you have to do to the other, so the final answer is y = (60 divided by 6) 10

y = 10

Hopefully this helped...