Y=(18+.8Y)+24

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Solution for Y=(18+.8Y)+24 equation:


Simplifying
Y = (18 + 0.8Y) + 24

Remove parenthesis around (18 + 0.8Y)
Y = 18 + 0.8Y + 24

Reorder the terms:
Y = 18 + 24 + 0.8Y

Combine like terms: 18 + 24 = 42
Y = 42 + 0.8Y

Solving
Y = 42 + 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 = 42 + 0.8Y + -0.8Y

Combine like terms: Y + -0.8Y = 0.2Y
0.2Y = 42 + 0.8Y + -0.8Y

Combine like terms: 0.8Y + -0.8Y = 0.0
0.2Y = 42 + 0.0
0.2Y = 42

Divide each side by '0.2'.
Y = 210

Simplifying
Y = 210

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