Y=(0.8Y+100)+(-20r+1000)

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Solution for Y=(0.8Y+100)+(-20r+1000) equation: 


Simplifying
Y = (0.8Y + 100) + (-20r + 1000)

Reorder the terms:
Y = (100 + 0.8Y) + (-20r + 1000)

Remove parenthesis around (100 + 0.8Y)
Y = 100 + 0.8Y + (-20r + 1000)

Reorder the terms:
Y = 100 + 0.8Y + (1000 + -20r)

Remove parenthesis around (1000 + -20r)
Y = 100 + 0.8Y + 1000 + -20r

Reorder the terms:
Y = 100 + 1000 + 0.8Y + -20r

Combine like terms: 100 + 1000 = 1100
Y = 1100 + 0.8Y + -20r

Solving
Y = 1100 + 0.8Y + -20r

Solving for variable 'Y'.

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

Add '-0.8Y' to each side of the equation.
Y + -0.8Y = 1100 + 0.8Y + -0.8Y + -20r

Combine like terms: Y + -0.8Y = 0.2Y
0.2Y = 1100 + 0.8Y + -0.8Y + -20r

Combine like terms: 0.8Y + -0.8Y = 0.0
0.2Y = 1100 + 0.0 + -20r
0.2Y = 1100 + -20r

Divide each side by '0.2'.
Y = 5500 + -100r

Simplifying
Y = 5500 + -100r

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