Problem of the Week

Updated at Apr 12, 2021 12:16 PM

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Apr 12, 2021

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:

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

Simplify \(\frac{4}{5}y\) to \(\frac{4y}{5}\).

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

Divide both sides by \(4\).

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

Simplify \(\frac{\frac{12}{5}}{4}\) to \(\frac{12}{5\times 4}\).

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

Simplify \(5\times 4\) to \(20\).

\[\frac{4y}{5}-3=-\frac{12}{20}\]

Simplify \(\frac{12}{20}\) to \(\frac{3}{5}\).

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

Add \(3\) to both sides.

\[\frac{4y}{5}=-\frac{3}{5}+3\]

Simplify \(-\frac{3}{5}+3\) to \(\frac{12}{5}\).

\[\frac{4y}{5}=\frac{12}{5}\]

Multiply both sides by \(5\).

\[4y=\frac{12}{5}\times 5\]

Cancel \(5\).

\[4y=12\]

Divide both sides by \(4\).

\[y=\frac{12}{4}\]

Simplify \(\frac{12}{4}\) to \(3\).

\[y=3\]

Done