Y=10+0.8Y+12.5

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Solution for Y=10+0.8Y+12.5 equation: 


Simplifying
Y = 10 + 0.8Y + 12.5

Reorder the terms:
Y = 10 + 12.5 + 0.8Y

Combine like terms: 10 + 12.5 = 22.5
Y = 22.5 + 0.8Y

Solving
Y = 22.5 + 0.8Y

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 = 22.5 + 0.8Y + -0.8Y

Combine like terms: Y + -0.8Y = 0.2Y
0.2Y = 22.5 + 0.8Y + -0.8Y

Combine like terms: 0.8Y + -0.8Y = 0.0
0.2Y = 22.5 + 0.0
0.2Y = 22.5

Divide each side by '0.2'.
Y = 112.5

Simplifying
Y = 112.5

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