0 3(8-3y)=3 2-0 8(y-7)

less than a minute read Jun 07, 2024
0 3(8-3y)=3 2-0 8(y-7)

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.