=100+.9(Y-500)+.04(10000)+.08(15000)+.8(100)+(-100)(2)

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Solution for =100+.9(Y-500)+.04(10000)+.08(15000)+.8(100)+(-100)(2) equation: 


Simplifying
0 = 100 + 0.9(Y + -500) + 0.04(10000) + 0.08(15000) + 0.8(100) + (-100)(2)

Reorder the terms:
0 = 100 + 0.9(-500 + Y) + 0.04(10000) + 0.08(15000) + 0.8(100) + (-100)(2)
0 = 100 + (-500 * 0.9 + Y * 0.9) + 0.04(10000) + 0.08(15000) + 0.8(100) + (-100)(2)
0 = 100 + (-450 + 0.9Y) + 0.04(10000) + 0.08(15000) + 0.8(100) + (-100)(2)

Multiply 0.04 * 10000
0 = 100 + -450 + 0.9Y + 400 + 0.08(15000) + 0.8(100) + (-100)(2)

Multiply 0.08 * 15000
0 = 100 + -450 + 0.9Y + 400 + 1200 + 0.8(100) + (-100)(2)

Multiply 0.8 * 100
0 = 100 + -450 + 0.9Y + 400 + 1200 + 80 + (-100)(2)

Multiply -100 * 2
0 = 100 + -450 + 0.9Y + 400 + 1200 + 80 + -200

Reorder the terms:
0 = 100 + -450 + 400 + 1200 + 80 + -200 + 0.9Y

Combine like terms: 100 + -450 = -350
0 = -350 + 400 + 1200 + 80 + -200 + 0.9Y

Combine like terms: -350 + 400 = 50
0 = 50 + 1200 + 80 + -200 + 0.9Y

Combine like terms: 50 + 1200 = 1250
0 = 1250 + 80 + -200 + 0.9Y

Combine like terms: 1250 + 80 = 1330
0 = 1330 + -200 + 0.9Y

Combine like terms: 1330 + -200 = 1130
0 = 1130 + 0.9Y

Solving
0 = 1130 + 0.9Y

Solving for variable 'Y'.

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

Add '-0.9Y' to each side of the equation.
0 + -0.9Y = 1130 + 0.9Y + -0.9Y
Remove the zero:
-0.9Y = 1130 + 0.9Y + -0.9Y

Combine like terms: 0.9Y + -0.9Y = 0.0
-0.9Y = 1130 + 0.0
-0.9Y = 1130

Divide each side by '-0.9'.
Y = -1255.555556

Simplifying
Y = -1255.555556

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