=100+.75(Y-200)+.05(10000)+.10(15000)+.8(100)+(-500)(3)

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Solution for =100+.75(Y-200)+.05(10000)+.10(15000)+.8(100)+(-500)(3) equation: 


Simplifying
0 = 100 + 0.75(Y + -200) + 0.05(10000) + 0.10(15000) + 0.8(100) + (-500)(3)

Reorder the terms:
0 = 100 + 0.75(-200 + Y) + 0.05(10000) + 0.10(15000) + 0.8(100) + (-500)(3)
0 = 100 + (-200 * 0.75 + Y * 0.75) + 0.05(10000) + 0.10(15000) + 0.8(100) + (-500)(3)
0 = 100 + (-150 + 0.75Y) + 0.05(10000) + 0.10(15000) + 0.8(100) + (-500)(3)

Multiply 0.05 * 10000
0 = 100 + -150 + 0.75Y + 500 + 0.10(15000) + 0.8(100) + (-500)(3)

Multiply 0.10 * 15000
0 = 100 + -150 + 0.75Y + 500 + 1500 + 0.8(100) + (-500)(3)

Multiply 0.8 * 100
0 = 100 + -150 + 0.75Y + 500 + 1500 + 80 + (-500)(3)

Multiply -500 * 3
0 = 100 + -150 + 0.75Y + 500 + 1500 + 80 + -1500

Reorder the terms:
0 = 100 + -150 + 500 + 1500 + 80 + -1500 + 0.75Y

Combine like terms: 100 + -150 = -50
0 = -50 + 500 + 1500 + 80 + -1500 + 0.75Y

Combine like terms: -50 + 500 = 450
0 = 450 + 1500 + 80 + -1500 + 0.75Y

Combine like terms: 450 + 1500 = 1950
0 = 1950 + 80 + -1500 + 0.75Y

Combine like terms: 1950 + 80 = 2030
0 = 2030 + -1500 + 0.75Y

Combine like terms: 2030 + -1500 = 530
0 = 530 + 0.75Y

Solving
0 = 530 + 0.75Y

Solving for variable 'Y'.

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

Add '-0.75Y' to each side of the equation.
0 + -0.75Y = 530 + 0.75Y + -0.75Y
Remove the zero:
-0.75Y = 530 + 0.75Y + -0.75Y

Combine like terms: 0.75Y + -0.75Y = 0.00
-0.75Y = 530 + 0.00
-0.75Y = 530

Divide each side by '-0.75'.
Y = -706.6666667

Simplifying
Y = -706.6666667

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