Answer :

To solve the equation [tex]\(292 = 159 - y\)[/tex] for [tex]\(y\)[/tex], follow these steps:

1. Start with the equation:
[tex]\[
292 = 159 - y
\][/tex]

2. To isolate [tex]\(y\)[/tex], we need to eliminate the 159 from the right side of the equation. We do this by subtracting 159 from both sides:

[tex]\[
292 - 159 = 159 - 159 - y
\][/tex]

3. Simplify both sides:
[tex]\[
292 - 159 = -y
\][/tex]
[tex]\[
133 = -y
\][/tex]

4. We want to solve for positive [tex]\(y\)[/tex], so multiply both sides of the equation by -1 to get:
[tex]\[
y = -133
\][/tex]

Therefore, the solution for [tex]\(y\)[/tex] is [tex]\(-133\)[/tex].