Absolutely! Let's break down the solution step-by-step:
1. Start with the given equation:
[tex]\[
y - 1 = 3(x + 6)
\][/tex]
2. Distribute the 3 to both terms inside the parentheses on the right-hand side (RHS):
[tex]\[
y - 1 = 3 \cdot x + 3 \cdot 6
\][/tex]
Simplifying this, we get:
[tex]\[
y - 1 = 3x + 18
\][/tex]
3. Add 1 to both sides of the equation to isolate [tex]\(y\)[/tex]:
[tex]\[
y - 1 + 1 = 3x + 18 + 1
\][/tex]
Simplifying the left-hand side (LHS) and RHS, we get:
[tex]\[
y = 3x + 19
\][/tex]
Therefore, the solution to the equation [tex]\(y - 1 = 3(x + 6)\)[/tex] is:
[tex]\[
y = 3x + 19
\][/tex]
