Question

$$\frac{y}{4}+2=\frac{2y-\frac{1}{2}$$

Answer

y=-7

Solution


Regroup terms.
\[4y+2=2y-12\]
Subtract \(2y\) from both sides.
\[4y+2-2y=-12\]
Simplify  \(4y+2-2y\)  to  \(2y+2\).
\[2y+2=-12\]
Subtract \(2\) from both sides.
\[2y=-12-2\]
Simplify  \(-12-2\)  to  \(-14\).
\[2y=-14\]
Divide both sides by \(2\).
\[y=-\frac{14}{2}\]
Simplify  \(\frac{14}{2}\)  to  \(7\).
\[y=-7\]