Answer:
[tex]3y-6=18\\\\3y=24[/tex]
The value of "y" is: [tex]y=8[/tex]
Step-by-step explanation:
Given the following equation:
[tex]3(y-2) = 18[/tex]
1. You must apply the Distributive property on the left side of the equation (This is: [tex]a(b\±c)=ab\±ac[/tex]). Then:
[tex](3)(y)+(3)(-2) = 18\\\\3y-6=18[/tex]
2. Now you need to apply the Addition Property of Equality. Remember that this states that:
[tex]If\ a=b,\ then\ a+c=b+c[/tex]
So, adding 6 to both sides of the equation, you get:
[tex]3y-6+(6)=18+(6)\\\\3y=24[/tex]
3. Finally, you can apply the Division Property of Equality, which states that:
[tex]If\ a=b,\ then\ \frac{a}{c}=\frac{b}{c}[/tex]
So, dividing both sides of the equation by 3, you get:
[tex]\frac{3y}{3}=\frac{24}{3}\\\\y=8[/tex]
