To solve the equation [tex]\(y - 2x = 15\)[/tex] for [tex]\(y\)[/tex], follow these steps:
1. Starting Equation:
[tex]\[
y - 2x = 15
\][/tex]
2. Isolate [tex]\(y\)[/tex]:
To isolate [tex]\(y\)[/tex], you need to get [tex]\(y\)[/tex] alone on one side of the equation. You can do this by adding [tex]\(2x\)[/tex] to both sides of the equation.
[tex]\[
y - 2x + 2x = 15 + 2x
\][/tex]
3. Simplify:
On the left side of the equation, [tex]\(-2x\)[/tex] and [tex]\(+2x\)[/tex] cancel each other out, leaving just [tex]\(y\)[/tex].
[tex]\[
y = 2x + 15
\][/tex]
Therefore, the solution to the equation [tex]\(y - 2x = 15\)[/tex] for [tex]\(y\)[/tex] is:
[tex]\[
y = 2x + 15
\][/tex]
