What is the value of y?

b4c−7=by/c7

User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
3 hours ago

To solve for \( y \) in the equation

\[
b^4c - 7 = \frac{by}{c} \cdot 7,
\]

we can first simplify the right side of the equation:

\[
b^4c - 7 = \frac{7by}{c}.
\]

Next, we can multiply both sides by \( c \) to eliminate the fraction:

\[
c(b^4c - 7) = 7by.
\]

This simplifies to:

\[
cb^4c - 7c = 7by.
\]

Now, we want to isolate \( y \). We can divide both sides by \( 7b \) (assuming \( b \neq 0 \)):

\[
y = \frac{cb^4c - 7c}{7b}.
\]

This can be simplified further:

\[
y = \frac{c(b^4c - 7)}{7b}.
\]

So, the final expression for \( y \) is:

\[
y = \frac{c(b^4c - 7)}{7b}.
\]