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

Jasonbradley

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Jun 17, 2024

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

This article will guide you through the steps of solving the equation 0.3(6-2y) = 4.5 - 0.7(y+9).

Step 1: Distribute

First, we need to distribute the constants on both sides of the equation:

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

Step 2: Combine Like Terms

Next, we'll combine the constant terms and the terms with 'y' on each side of the equation:

• 1.8 - 0.6y = 4.5 - 0.7y - 6.3
• 1.8 - 0.6y = -1.8 - 0.7y

Step 3: Isolate the 'y' term

We need to get all the 'y' terms on one side of the equation and the constant terms on the other side. Let's add 0.7y to both sides:

• 1.8 - 0.6y + 0.7y = -1.8 - 0.7y + 0.7y
• 1.8 + 0.1y = -1.8

Step 4: Isolate 'y'

Now, subtract 1.8 from both sides:

• 1.8 + 0.1y - 1.8 = -1.8 - 1.8
• 0.1y = -3.6

Step 5: Solve for 'y'

Finally, divide both sides by 0.1 to isolate 'y':

• 0.1y / 0.1 = -3.6 / 0.1
• y = -36

Solution

Therefore, the solution to the equation 0.3(6-2y) = 4.5 - 0.7(y+9) is y = -36.