Solve and justify your answer using the properties of operations (i.e Distributive property, associative property, commutative property, identity property, substitution, ect…)
4.5 - 7 = 2(y + 2.25) + 6.6
To solve the equation, we will simplify it step by step using the properties of operations:
First, distribute the 2 to both terms inside the parentheses:
4.5 - 7 = 2y + 4.5 + 6.6
Next, simplify the right side of the equation by combining like terms:
-2.5 = 2y + 11.1
Now, we want to isolate the variable y. To do this, subtract 11.1 from both sides of the equation:
-2.5 - 11.1 = 2y
Simplify the left side of the equation:
-13.6 = 2y
Finally, divide both sides of the equation by 2 to solve for y:
-13.6/2 = y
Simplify the left side of the equation:
-6.8 = y
Therefore, the solution to the equation is y = -6.8.
We have justified our solution using the properties of operations, such as the distributive property and the inverse operations (adding the same value to both sides, subtracting the same value from both sides, and dividing both sides by the same value).