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
First, let's simplify the expression on both sides of the equation:
-6y + 8 = y + 9 - 7y - 1
Combine like terms on the right side:
-6y + 8 = -6y + 8
Now, let's use the subtraction property of equality to subtract -6y from both sides of the equation:
-6y - (-6y) + 8 = -6y - 6y + 8
Simplifying the left side:
0y + 8 = -12y + 8
Now, let's use the addition property of equality to add 12y to both sides of the equation:
0y + 12y + 8 = -12y + 12y + 8
Simplifying the right side:
12y + 8 = 8
Finally, let's use the subtraction property of equality to subtract 8 from both sides of the equation:
12y + 8 - 8 = 8 - 8
Simplifying:
12y = 0
To solve for y, we can divide both sides of the equation by 12:
12y/12 = 0/12
Simplifying:
y = 0
Therefore, the solution to the equation is y = 0.