Solving the Equation: 7y - 6(0.2y - 1) = 5(y + 2) - 1
In this article, we will solve the equation 7y - 6(0.2y - 1) = 5(y + 2) - 1 step by step.
Step 1: Simplify the Left Side of the Equation
Let's start by simplifying the left side of the equation:
7y - 6(0.2y - 1)
= 7y - 6(0.2y) + 6(1)
= 7y - 1.2y + 6
= 5.8y + 6
Step 2: Simplify the Right Side of the Equation
Now, let's simplify the right side of the equation:
5(y + 2) - 1
= 5y + 10 - 1
= 5y + 9
Step 3: Equate the Two Expressions
Now that we have simplified both sides of the equation, we can equate them:
5.8y + 6 = 5y + 9
Step 4: Solve for y
To solve for y, we can subtract 5y from both sides of the equation:
0.8y + 6 = 9
Subtracting 6 from both sides gives us:
0.8y = 3
Dividing both sides by 0.8 gives us:
y = 3/0.8
y = 3.75
Therefore, the value of y is 3.75.
Conclusion
In this article, we have successfully solved the equation 7y - 6(0.2y - 1) = 5(y + 2) - 1. The value of y is 3.75.
