Certainly! Let's solve the given equation step-by-step.
We are given the equation:
[tex]\[ x = 4y - 16 \][/tex]
Our goal is to solve this equation for [tex]\( y \)[/tex].
### Step 1: Isolate the term containing [tex]\( y \)[/tex].
Starting with the given equation:
[tex]\[ x = 4y - 16 \][/tex]
We want to isolate the term containing [tex]\( y \)[/tex]. To do this, we'll add 16 to both sides of the equation:
[tex]\[ x + 16 = 4y - 16 + 16 \][/tex]
[tex]\[ x + 16 = 4y \][/tex]
### Step 2: Solve for [tex]\( y \)[/tex].
Next, we need to solve for [tex]\( y \)[/tex] by isolating [tex]\( y \)[/tex] on one side of the equation. To do this, we'll divide both sides of the equation by 4:
[tex]\[ \frac{x + 16}{4} = y \][/tex]
[tex]\[ y = \frac{x + 16}{4} \][/tex]
### Step 3: Simplify the expression.
Now, we can simplify the right-hand side of the equation. We'll split the fraction:
[tex]\[ y = \frac{x}{4} + \frac{16}{4} \][/tex]
[tex]\[ y = \frac{x}{4} + 4 \][/tex]
So, the final solution for [tex]\( y \)[/tex] in terms of [tex]\( x \)[/tex] is:
[tex]\[ y = \frac{x}{4} + 4 \][/tex]
### Conclusion:
The equation [tex]\( x = 4y - 16 \)[/tex] solved for [tex]\( y \)[/tex] is:
[tex]\[ y = \frac{x}{4} + 4 \][/tex]
