Answer:
The simplified form of the given expression is [tex]-7 + (\frac{1}{3})y[/tex]
Step-by-step explanation:
Here, the given expression is:
[tex]-3 + (\frac{2}{3}) y - 4 - (\frac{1}{3})y[/tex]
Now to simplify the given expression, perform operations on LIKE TERMS:
We get:
[tex]-3 + (\frac{2}{3}) y - 4 - (\frac{1}{3})y =( -3 - 4) + [(\frac{2}{3}) y- (\frac{1}{3})y]\\= - 7 + [(\frac{2}{3}) -(\frac{1}{3})]y = -7 + [\frac{2-1}{3}]y\\ = -7 + (\frac{1}{3})y\\ \implies -3 + (\frac{2}{3}) y - 4 - (\frac{1}{3})y = -7 + (\frac{1}{3})y[/tex]
Hence the simplified form of the given expression is [tex]-7 + (\frac{1}{3})y[/tex]