Solving the Equation: 0.5y - 1 - (2y + 4) = y
This article will guide you through solving the equation 0.5y - 1 - (2y + 4) = y. We will break down each step to ensure clear understanding.
Step 1: Simplify the equation
Begin by simplifying the left side of the equation by removing the parentheses and combining like terms.
- 0.5y - 1 - (2y + 4) = y
- 0.5y - 1 - 2y - 4 = y
- -1.5y - 5 = y
Step 2: Isolate the variable
The goal is to get all the terms with 'y' on one side of the equation and the constant terms on the other side.
- -1.5y - 5 = y
- -1.5y - y = 5
- -2.5y = 5
Step 3: Solve for 'y'
Divide both sides of the equation by -2.5 to isolate 'y'.
- -2.5y = 5
- y = 5 / -2.5
- y = -2
Solution
Therefore, the solution to the equation 0.5y - 1 - (2y + 4) = y is y = -2.