Jim's weekly pay is 2/3 of ALicia's. Together they earn $600 per week. What is each person's pay?

Can you leave me an equation on how to solve this?

Let Alicia's pay be Y.
Then Jim's pay is (2/3)Y.
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Y + (2/3)Y = 600.
Solve for Y, then (2/3)Y.
Post your work if you get stuck.