Solving the Equation: 0.3(8-3y)=3.2-0.8(y-7)
In this article, we will solve the equation 0.3(8-3y)=3.2-0.8(y-7) and find the value of y.
Step 1: Simplify the Left Side of the Equation
Let's start by simplifying the left side of the equation:
0.3(8-3y) = 0.3(8) - 0.3(3y) = 2.4 - 0.9y
Step 2: Simplify the Right Side of the Equation
Now, let's simplify the right side of the equation:
3.2 - 0.8(y-7) = 3.2 - 0.8y + 5.6 = 8.8 - 0.8y
Step 3: Equate the Two Expressions
Now that we have simplified both sides of the equation, we can equate them:
2.4 - 0.9y = 8.8 - 0.8y
Step 4: Solve for y
Now, let's solve for y:
0.9y + 0.8y = 8.8 - 2.4 1.7y = 6.4 y = 6.4 / 1.7 y = 3.76
Therefore, the value of y is approximately 3.76.