Certainly! Let's start with the given equation and proceed step by step to isolate [tex]\( y \)[/tex]:
1. Start with the original equation:
[tex]\[
x = 3y - 5
\][/tex]
2. Add 5 to both sides of the equation to isolate the term with [tex]\( y \)[/tex]:
[tex]\[
x + 5 = 3y - 5 + 5
\][/tex]
This simplifies to:
[tex]\[
x + 5 = 3y
\][/tex]
3. Divide both sides of the equation by 3 to solve for [tex]\( y \)[/tex]:
[tex]\[
\frac{x + 5}{3} = \frac{3y}{3}
\][/tex]
This simplifies to:
[tex]\[
y = \frac{x + 5}{3}
\][/tex]
Therefore, the rearranged equation with [tex]\( y \)[/tex] as the subject is:
[tex]\[
y = \frac{x + 5}{3}
\][/tex]
