E=200+0.8(Y-100)+200+0.1Y+100+150-150-0.15Y

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Solution for E=200+0.8(Y-100)+200+0.1Y+100+150-150-0.15Y equation: 


Simplifying
E = 200 + 0.8(Y + -100) + 200 + 0.1Y + 100 + 150 + -150 + -0.15Y

Reorder the terms:
E = 200 + 0.8(-100 + Y) + 200 + 0.1Y + 100 + 150 + -150 + -0.15Y
E = 200 + (-100 * 0.8 + Y * 0.8) + 200 + 0.1Y + 100 + 150 + -150 + -0.15Y
E = 200 + (-80 + 0.8Y) + 200 + 0.1Y + 100 + 150 + -150 + -0.15Y

Reorder the terms:
E = 200 + -80 + 200 + 100 + 150 + -150 + 0.8Y + 0.1Y + -0.15Y

Combine like terms: 200 + -80 = 120
E = 120 + 200 + 100 + 150 + -150 + 0.8Y + 0.1Y + -0.15Y

Combine like terms: 120 + 200 = 320
E = 320 + 100 + 150 + -150 + 0.8Y + 0.1Y + -0.15Y

Combine like terms: 320 + 100 = 420
E = 420 + 150 + -150 + 0.8Y + 0.1Y + -0.15Y

Combine like terms: 420 + 150 = 570
E = 570 + -150 + 0.8Y + 0.1Y + -0.15Y

Combine like terms: 570 + -150 = 420
E = 420 + 0.8Y + 0.1Y + -0.15Y

Combine like terms: 0.8Y + 0.1Y = 0.9Y
E = 420 + 0.9Y + -0.15Y

Combine like terms: 0.9Y + -0.15Y = 0.75Y
E = 420 + 0.75Y

Solving
E = 420 + 0.75Y

Solving for variable 'E'.

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

Simplifying
E = 420 + 0.75Y

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