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

1 answer

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: \[ y = \frac{4}{d} \]