Problem of the Week

Updated at Apr 12, 2021 12:16 PM

For this week we've brought you this equation problem.

How would you solve the equation \(4(\frac{4}{5}y-3)=-\frac{12}{5}\)?

Here are the steps:



\[4(\frac{4}{5}y-3)=-\frac{12}{5}\]

1
Simplify  \(\frac{4}{5}y\)  to  \(\frac{4y}{5}\).
\[4(\frac{4y}{5}-3)=-\frac{12}{5}\]

2
Divide both sides by \(4\).
\[\frac{4y}{5}-3=-\frac{\frac{12}{5}}{4}\]

3
Simplify  \(\frac{\frac{12}{5}}{4}\)  to  \(\frac{12}{5\times 4}\).
\[\frac{4y}{5}-3=-\frac{12}{5\times 4}\]

4
Simplify  \(5\times 4\)  to  \(20\).
\[\frac{4y}{5}-3=-\frac{12}{20}\]

5
Simplify  \(\frac{12}{20}\)  to  \(\frac{3}{5}\).
\[\frac{4y}{5}-3=-\frac{3}{5}\]

6
Add \(3\) to both sides.
\[\frac{4y}{5}=-\frac{3}{5}+3\]

7
Simplify  \(-\frac{3}{5}+3\)  to  \(\frac{12}{5}\).
\[\frac{4y}{5}=\frac{12}{5}\]

8
Multiply both sides by \(5\).
\[4y=\frac{12}{5}\times 5\]

9
Cancel \(5\).
\[4y=12\]

10
Divide both sides by \(4\).
\[y=\frac{12}{4}\]

11
Simplify  \(\frac{12}{4}\)  to  \(3\).
\[y=3\]

Done
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