Final answer:
The question involves solving for income (Y) in a multi-step algebra problem, substituting the tax rate (T) as 0.3Y and simplifying the equation to find Y = 3730.
Step-by-step explanation:
The student's question involves solving an algebraic equation for income Y in terms of consumption C and taxes T. Given the equation C = 560 + 0.6(Y - T) and another complex equation for Y, the question leads us to a multi-step algebra problem that we can solve by substituting values and simplifying.
Starting with the equation Y = 140 + 0.9(Y - T) + 400 + 800 + 600 - 0.15Y, we move on to Step 4, which states to insert 0.3Y for the tax rate T. This changes the equation to Y = 140 +0.9(Y-0.3Y) + 1800 - 0.15Y. Then by combining like terms and further simplification, we get 1940 + 0.48Y. To find Y, we divide the constant term by 0.52, resulting in Y = 3730.