Question

below are the steps hall used to solve the equation ( 8y = 7(2y + 2) ).
given: ( 8y = 7(2y + 2) )
step 1: distribution, ( 8y = 14y + 14 )
step 2:
step 3: division, ( y=\frac{-7}{3} )
determine the possible step and related equation that is missing.
addition, ( -6y = 14 )
subtraction, ( 8y = 28y )
subtraction, ( 22y = 14 )
addition, ( 22y = 14 )

Explanation:

Step1: Analyze the given equation after distribution

We have \(8y = 14y+14\). To solve for \(y\), we need to get all the \(y\) - terms on one side.

Step2: Subtract \(14y\) from both sides

Subtracting \(14y\) from both sides of the equation \(8y = 14y + 14\) gives:

$$8y-14y=14y + 14-14y$$

$$ - 6y=14$$

Answer:

Addition, \(-6y = 14\)