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, let's simplify both sides step by step using the properties of operations:
1. Begin by combining like terms on the right side of the equation:
-6y + 8 = 9 - 6y - 1
2. Next, combine like terms on both sides:
-6y + 6y + 8 = 9 - 6y + 6y - 1
8 = 9 -1
3. The right side simplifies to:
8 = 8
4. Since we have the same value (8) on both sides of the equation, the equation is true for all values of y.
Therefore, the solution to the equation -6y + 8 = y + 9 - 7y - 1 is y can be any real number.