Solving the Equation: 1-0.5(1-y)=-0.2(y+1)
In this article, we will solve the equation 1-0.5(1-y)=-0.2(y+1) step by step.
Step 1: Simplify the Equation
Let's start by simplifying the equation:
1-0.5(1-y) = -0.2(y+1)
Expanding the parentheses, we get:
1 - 0.5 + 0.5y = -0.2y - 0.2
Step 2: Combine Like Terms
Now, let's combine like terms:
0.5y + 0.2y = -0.2 - 1 + 0.5
Combine the y terms:
(0.5 + 0.2)y = -0.7
Step 3: Solve for y
Now, let's solve for y:
0.7y = -0.7
Divide both sides by 0.7:
y = -0.7/0.7
y = -1
Step 4: Check the Solution
Let's plug the value of y back into the original equation to check if it's true:
1-0.5(1-(-1)) = -0.2((-1)+1)
Simplifying, we get:
1 - 0.5(2) = 0
1 - 1 = 0
0 = 0
True! Therefore, the value of y is indeed -1.
Conclusion
In this article, we successfully solved the equation 1-0.5(1-y)=-0.2(y+1) and found the value of y to be -1.
