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Solve the following equation.0.2⁢𝑦+0.5⁢(13-𝑦)=4.4𝑦=

Question

Solve the following equation.0.2⁢𝑦+0.5⁢(13-𝑦)=4.4𝑦=

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Solution

Sure, let's solve the equation step by step:

0.2y + 0.5(13 - y) = 4.4y

First, distribute the 0.5 into the parentheses:

0.2y + 6.5 - 0.5y = 4.4y

Then, combine like terms on the left side:

-0.3y + 6.5 = 4.4y

Next, add 0.3y to both sides to get all the y terms on one side:

6.5 = 4.7y

Finally, divide both sides by 4.7 to solve for y:

y = 6.5 / 4.7 ≈ 1.38

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