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Hello! In this question, we will be solving the given equation for the variable "y".
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Step-by-step explanation:
In our question, we were given the following equation:
- 0.3(6y + 15) = 1.8y + 4.5
To solve for our "y" variable, we will perform distributive property and simplify to get the value of "y".
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Solve:
![0.3(6y + 15) = 1.8y + 4.5\\\\\text{Use the distributive property to distribute the](https://img.qammunity.org/2023/formulas/mathematics/high-school/n6lxlq2g8kplpuz2ijvykrj2qkrpkphdwj.png)
Proof:
![\text{To prove that there are infinite solutions, we could continue to solve the}\\\text{equation:}\\\\1.8y+4.5 =1.8y+4.5 \\\\\text{Subtract 1.8y from both sides}\\\\4.5=4.5\\\\\text{Subtract 4.5 from both sides}\\\\0=0](https://img.qammunity.org/2023/formulas/mathematics/high-school/mssz4c5rxgcxu3q48uku6s1cf033imxegy.png)
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Answer:
![\boxed{\text{Infinite solutions}}](https://img.qammunity.org/2023/formulas/mathematics/high-school/h11qmrxa7d3anwetk0gu5qyoiluck0vjcd.png)
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