Solve and justify your answer using the properties of operations (i.e Distributive property, associative property, commutative property, identity property, substitution, ect…)
-6y + 8 = y +9 - 7y - 1
To solve the equation -6y + 8 = y + 9 - 7y - 1, we need to simplify and combine like terms on both sides of the equation.
First, let's combine the like terms on the right side of the equation:
-6y + 8 = -6y - 6
Using the commutative property, we can rearrange the terms on the right side:
-6y + 8 = -6 - 6y
Next, let's combine the like terms on the left side of the equation:
-6y + 8 = -12y
Now, let's solve for y by getting all the y terms on one side of the equation:
-6y + 12y = -8
Using the distributive property, we can combine the y terms:
6y = -8
Finally, solve for y by dividing both sides of the equation by 6:
y = -8/6
Simplifying the right side, we get:
y = -4/3
Therefore, the solution to the equation is y = -4/3.