Question

Put the steps in the correct order.
Solve 4dy + 12 = 7dy for y.
1
2
3
4
Simplify to get your final answer
4
d
=yory
d
Divide both sides by 3d
12
3dy
==
3d
3d
Subtract 4dy from both sides
4dy + 12 - 4dy = 7dy - 4dy
Combine Like Terms
# 12= 7dy -4dy
12 = 3dy

Answer 1

To solve the equation \(4dy + 12 = 7dy\) for \(y\), we can follow these steps in the correct order:

1. **Subtract \(4dy\) from both sides**:
\[
4dy + 12 - 4dy = 7dy - 4dy
\]
This simplifies to:
\[
12 = 3dy
\]

2. **Combine like terms** (already done in step 1).

3. **Divide both sides by \(3d\)**:
\[
\frac{12}{3d} = \frac{3dy}{3d}
\]
This simplifies to:
\[
4 = y
\]

4. **Simplify to get your final answer**:
The final answer is:
\[
y = \frac{4}{d}
\]

So, the correct order of steps is:
1. Subtract \(4dy\) from both sides.
2. Combine like terms (from step 1).
3. Divide both sides by \(3d\).
4. Simplify to get your final answer.

Thus, the final solution is:
\[
y = \frac{4}{d}
\]