Y=15+0.75(Y-20)+60+90

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Solution for Y=15+0.75(Y-20)+60+90 equation: 


Simplifying
Y = 15 + 0.75(Y + -20) + 60 + 90

Reorder the terms:
Y = 15 + 0.75(-20 + Y) + 60 + 90
Y = 15 + (-20 * 0.75 + Y * 0.75) + 60 + 90
Y = 15 + (-15 + 0.75Y) + 60 + 90

Reorder the terms:
Y = 15 + -15 + 60 + 90 + 0.75Y

Combine like terms: 15 + -15 = 0
Y = 0 + 60 + 90 + 0.75Y
Y = 60 + 90 + 0.75Y

Combine like terms: 60 + 90 = 150
Y = 150 + 0.75Y

Solving
Y = 150 + 0.75Y

Solving for variable 'Y'.

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

Add '-0.75Y' to each side of the equation.
Y + -0.75Y = 150 + 0.75Y + -0.75Y

Combine like terms: Y + -0.75Y = 0.25Y
0.25Y = 150 + 0.75Y + -0.75Y

Combine like terms: 0.75Y + -0.75Y = 0.00
0.25Y = 150 + 0.00
0.25Y = 150

Divide each side by '0.25'.
Y = 600

Simplifying
Y = 600

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