Y=10+.8(Y-10)+23+10+15-.3Y

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Solution for Y=10+.8(Y-10)+23+10+15-.3Y equation: 


Simplifying
Y = 10 + 0.8(Y + -10) + 23 + 10 + 15 + -0.3Y

Reorder the terms:
Y = 10 + 0.8(-10 + Y) + 23 + 10 + 15 + -0.3Y
Y = 10 + (-10 * 0.8 + Y * 0.8) + 23 + 10 + 15 + -0.3Y
Y = 10 + (-8 + 0.8Y) + 23 + 10 + 15 + -0.3Y

Reorder the terms:
Y = 10 + -8 + 23 + 10 + 15 + 0.8Y + -0.3Y

Combine like terms: 10 + -8 = 2
Y = 2 + 23 + 10 + 15 + 0.8Y + -0.3Y

Combine like terms: 2 + 23 = 25
Y = 25 + 10 + 15 + 0.8Y + -0.3Y

Combine like terms: 25 + 10 = 35
Y = 35 + 15 + 0.8Y + -0.3Y

Combine like terms: 35 + 15 = 50
Y = 50 + 0.8Y + -0.3Y

Combine like terms: 0.8Y + -0.3Y = 0.5Y
Y = 50 + 0.5Y

Solving
Y = 50 + 0.5Y

Solving for variable 'Y'.

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

Add '-0.5Y' to each side of the equation.
Y + -0.5Y = 50 + 0.5Y + -0.5Y

Combine like terms: Y + -0.5Y = 0.5Y
0.5Y = 50 + 0.5Y + -0.5Y

Combine like terms: 0.5Y + -0.5Y = 0.0
0.5Y = 50 + 0.0
0.5Y = 50

Divide each side by '0.5'.
Y = 100

Simplifying
Y = 100

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