Sure, let's solve the equation [tex]\( 48 = 45 - \frac{y}{6} \)[/tex] step-by-step.
1. Start with the given equation:
[tex]\[
48 = 45 - \frac{y}{6}
\][/tex]
2. Isolate the term containing [tex]\( y \)[/tex]:
To do this, subtract 45 from both sides of the equation. This will help us isolate the term with [tex]\( y \)[/tex] on one side of the equation.
[tex]\[
48 - 45 = 45 - 45 - \frac{y}{6}
\][/tex]
Simplifying both sides, we get:
[tex]\[
3 = -\frac{y}{6}
\][/tex]
3. Solve for [tex]\( y \)[/tex]:
To get [tex]\( y \)[/tex] by itself, we need to eliminate the fraction. We do this by multiplying both sides of the equation by the denominator, which is -6.
[tex]\[
3 \times -6 = -\frac{y}{6} \times -6
\][/tex]
Simplifying both sides, we get:
[tex]\[
-18 = y
\][/tex]
4. Write the final solution:
[tex]\[
y = -18
\][/tex]
So, the solution to the equation [tex]\( 48 = 45 - \frac{y}{6} \)[/tex] is:
[tex]\[
y = -18
\][/tex]
