0 3(6-2y)=4 5-0 7(y+9)

2 min read Jun 03, 2024

Solving the Equation 0.3(6-2y) = 4.5 - 0.7(y+9)

In this article, we will solve the equation 0.3(6-2y) = 4.5 - 0.7(y+9). This equation involves decimals, parentheses, and variables, making it a bit challenging. But don't worry, we'll break it down step by step.

Step 1: Evaluate the Expressions Inside the Parentheses

First, let's evaluate the expressions inside the parentheses:

0.3(6-2y) = 0.3(6) - 0.3(2y) = 1.8 - 0.6y 4.5 - 0.7(y+9) = 4.5 - 0.7y - 6.3

So, the equation becomes:

1.8 - 0.6y = 4.5 - 0.7y - 6.3

Step 2: Simplify the Equation

Now, let's simplify the equation by combining like terms:

1.8 - 0.6y = -1.8 - 0.7y

Step 3: Add 0.6y to Both Sides

To get all the y terms on one side, let's add 0.6y to both sides:

1.8 = -1.8 + 0.1y

Step 4: Add 1.8 to Both Sides

Next, let's add 1.8 to both sides to get:

3.6 = 0.1y

Step 5: Divide Both Sides by 0.1

Finally, let's divide both sides by 0.1 to solve for y:

y = 36

And that's it! We have solved the equation 0.3(6-2y) = 4.5 - 0.7(y+9), and the value of y is 36.