Question

solve for the indicated variable.
8x = 7y - 35; for y
y =
(use integers or fractions for any numbers in the expression. simplify your answer)

Explanation:

Step1: Isolate the term with y

Start with the equation \( 8x = 7y - 35 \). To isolate the term containing \( y \), we add 35 to both sides of the equation.
\( 8x + 35 = 7y - 35 + 35 \)
Simplifying the right side, we get \( 8x + 35 = 7y \).

Step2: Solve for y

Now, to solve for \( y \), we divide both sides of the equation by 7.
\( y=\frac{8x + 35}{7} \)
We can split the fraction: \( y=\frac{8x}{7}+5 \) (since \( \frac{35}{7} = 5 \)).

Answer:

\( y=\frac{8x + 35}{7} \) (or \( y=\frac{8}{7}x + 5 \))