Y=80+0.6Y+30

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Solution for Y=80+0.6Y+30 equation: 


Simplifying
Y = 80 + 0.6Y + 30

Reorder the terms:
Y = 80 + 30 + 0.6Y

Combine like terms: 80 + 30 = 110
Y = 110 + 0.6Y

Solving
Y = 110 + 0.6Y

Solving for variable 'Y'.

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

Add '-0.6Y' to each side of the equation.
Y + -0.6Y = 110 + 0.6Y + -0.6Y

Combine like terms: Y + -0.6Y = 0.4Y
0.4Y = 110 + 0.6Y + -0.6Y

Combine like terms: 0.6Y + -0.6Y = 0.0
0.4Y = 110 + 0.0
0.4Y = 110

Divide each side by '0.4'.
Y = 275

Simplifying
Y = 275

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