Final answer:
To solve the equation expressed as Y = -1/3x - 4, we need to input different values of X to find the corresponding Y values, as it's a linear equation. For the given complex equations with multiple instances of Y, like Y = 140 + 0.9(Y – 0.3Y) + 400 + 800+600 -0.15Y, we simplify and combine like terms to isolate Y and solve for its value.
Step-by-step explanation:
To solve the equation Y = -1/3x - 4, you need to manipulate the equation to find specific values for Y when various X values are substituted. However, if we're looking at the provided equations similar to this format, such as Y = 140 + 0.9(Y – 0.3Y) + 400 + 800+600 -0.15Y, you start by simplifying the terms. For example:
Y = 140 + 0.9Y - 0.27Y + 1800 - 0.15Y
Here, you tighten up the Y terms:
Y = 1940 + 0.48Y
To isolate Y, you move all the Y terms to one side:
Y - 0.48Y = 19
Which simplifies to:
0.52Y = 1940
Finally, you divide both sides by 0.52 to find the value of Y:
Y = 3730