Would you solve the equation 10=4(y-1) by using distributive property

Mathematics · Middle School · Sun Jan 24 2021

Answered on

Given the numerical equation:

10 = 4 ( y - 1)

Solve using the distributive property

Solution.

In order to solve using the distributive property, we simply start by distributing 4 to each value inside the parenthesis.

10 = 4( y - 1 )

10 = 4y - 4

Transpose -4 on the other side of the equation, hence we must take note that in transposing a number, the sign changes.

4y = 10 + 4

4y = 14

Divide both sides by 4 in order to cancel out 4y and determine the value of y.

4y/4= 14/4

y = 7/2 or 3.5

Final answer:

y = 7/2 or 3.5