details\nno additional details were added for this assignment.\nhw5 the limit laws (target l4; §2.3)\nscore…

Explanation:

Step1: Apply limit - sum/difference rule

$\lim_{y\rightarrow - 7}(2y - 3)=\lim_{y\rightarrow - 7}(2y)-\lim_{y\rightarrow - 7}(3)$

Step2: Apply constant - multiple rule for limits

$\lim_{y\rightarrow - 7}(2y)=2\lim_{y\rightarrow - 7}(y)$

Step3: Evaluate individual limits

We know that $\lim_{y\rightarrow - 7}(y)=-7$ and $\lim_{y\rightarrow - 7}(3) = 3$ (since the limit of a constant function $f(y)=c$ as $y\rightarrow a$ is $c$). Then $2\lim_{y\rightarrow - 7}(y)=2\times(-7)=-14$.

Step4: Calculate the final result

$2\lim_{y\rightarrow - 7}(y)-\lim_{y\rightarrow - 7}(3)=-14 - 3=-17$

Answer:

$-17$