Question

Question 2 of 10

Answer 1

Answer:

$3y-6=18\\\\3y=24$

The value of "y" is: $y=8$

Step-by-step explanation:

Given the following equation:

$3(y-2) = 18$

1. You must apply the Distributive property on the left side of the equation (This is: $a(b\±c)=ab\±ac$). Then:

$(3)(y)+(3)(-2) = 18\\\\3y-6=18$

2. Now you need to apply the Addition Property of Equality. Remember that this states that:

$If\ a=b,\ then\ a+c=b+c$

So, adding 6 to both sides of the equation, you get:

$3y-6+(6)=18+(6)\\\\3y=24$

3. Finally, you can apply the Division Property of Equality, which states that:

$If\ a=b,\ then\ \frac{a}{c}=\frac{b}{c}$

So, dividing both sides of the equation by 3, you get:

$\frac{3y}{3}=\frac{24}{3}\\\\y=8$