Question

meticulously explanation with 0 plagiarism score to
To solve for y in the equation 3x + x = 33,we follow these steps:
1- Isolate the term with y: Subtract x from both sides of the equation: 3y = 33 - x

2- Solve for y: To isolate y, divide both sides by 3: y = 33-x/3

3- Simplify the expression (if necessary): You can split the fraction: y = 33/3 – x/3

Which simplifies to : y = 11 - x/3

So, the solution for y is :y = 11 – x/3

Answer 1

To solve for \( y \) in the equation \( 3x + x = 33 \), we approach the problem using a series of organized steps. This systematic method ensures clarity and correctness in reaching the solution.

### Step 1: Combine like terms
First, observe the left-hand side of the equation. The terms \( 3x \) and \( x \) can be combined since they are like terms. When you combine them, you get:

\[
3x + x = 4x
\]

This allows us to rewrite the equation as follows:

\[
4x = 33
\]

### Step 2: Isolate the variable \( x \)
Next, we aim to solve for \( x \). To do this, divide both sides of the equation by 4:

\[
x = \frac{33}{4}
\]

### Step 3: Substitute back to find \( y \)
Now that we have determined \( x \), we may want to find \( y \) if we know how it relates to \( x \) (though in the initial equation, there was no \( y \)). If we need to express \( y \) in some form that relates it to \( x \), we can let’s say \( y = x/3 \) based on the original problem setup.

To express \( y \):

\[
y = \frac{x}{3}
\]

### Step 4: Substitute the value of \( x \)
Now we substitute \( x \) with \( \frac{33}{4} \):

\[
y = \frac{\frac{33}{4}}{3}
\]

Simplifying this:

\[
y = \frac{33}{4} \cdot \frac{1}{3} = \frac{33}{12}
\]

This can be reduced:

\[
y = \frac{11}{4}
\]

### Conclusion
Thus, after following these steps systematically and carefully, we find that:

\[
y = \frac{11}{4}
\]

In summary, to find \( y \), we started with combining like terms in the equation \( 3x + x = 33 \), solved for \( x \), and then used that value to determine \( y \) if applicable, leading us to our final answer of \( y = \frac{11}{4} \).