=200+0.75(Y-0.2Y)+350+49.8Y

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Solution for =200+0.75(Y-0.2Y)+350+49.8Y equation: 


Simplifying
0 = 200 + 0.75(Y + -0.2Y) + 350 + 49.8Y

Combine like terms: Y + -0.2Y = 0.8Y
0 = 200 + 0.75(0.8Y) + 350 + 49.8Y

Remove parenthesis around (0.8Y)
0 = 200 + 0.75 * 0.8Y + 350 + 49.8Y

Multiply 0.75 * 0.8
0 = 200 + 0.6Y + 350 + 49.8Y

Reorder the terms:
0 = 200 + 350 + 0.6Y + 49.8Y

Combine like terms: 200 + 350 = 550
0 = 550 + 0.6Y + 49.8Y

Combine like terms: 0.6Y + 49.8Y = 50.4Y
0 = 550 + 50.4Y

Solving
0 = 550 + 50.4Y

Solving for variable 'Y'.

Move all terms containing Y to the left, all other terms to the right.

Add '-50.4Y' to each side of the equation.
0 + -50.4Y = 550 + 50.4Y + -50.4Y
Remove the zero:
-50.4Y = 550 + 50.4Y + -50.4Y

Combine like terms: 50.4Y + -50.4Y = 0.0
-50.4Y = 550 + 0.0
-50.4Y = 550

Divide each side by '-50.4'.
Y = -10.91269841

Simplifying
Y = -10.91269841

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