Y=30+0.9Yd+55+90+tY+0.2+(1-t)Y

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Solution for Y=30+0.9Yd+55+90+tY+0.2+(1-t)Y equation: 


Simplifying
Y = 30 + 0.9Yd + 55 + 90 + tY + 0.2 + (1 + -1t) * Y

Reorder the terms for easier multiplication:
Y = 30 + 0.9dY + 55 + 90 + tY + 0.2 + Y(1 + -1t)
Y = 30 + 0.9dY + 55 + 90 + tY + 0.2 + (1 * Y + -1t * Y)
Y = 30 + 0.9dY + 55 + 90 + tY + 0.2 + (1Y + -1tY)

Reorder the terms:
Y = 30 + 55 + 90 + 0.2 + 1Y + 0.9dY + tY + -1tY

Combine like terms: 30 + 55 = 85
Y = 85 + 90 + 0.2 + 1Y + 0.9dY + tY + -1tY

Combine like terms: 85 + 90 = 175
Y = 175 + 0.2 + 1Y + 0.9dY + tY + -1tY

Combine like terms: 175 + 0.2 = 175.2
Y = 175.2 + 1Y + 0.9dY + tY + -1tY

Combine like terms: tY + -1tY = 0
Y = 175.2 + 1Y + 0.9dY + 0
Y = 175.2 + 1Y + 0.9dY

Solving
Y = 175.2 + 1Y + 0.9dY

Solving for variable 'Y'.

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

Add '-1Y' to each side of the equation.
Y + -1Y = 175.2 + 1Y + -1Y + 0.9dY

Combine like terms: Y + -1Y = 0
0 = 175.2 + 1Y + -1Y + 0.9dY

Combine like terms: 1Y + -1Y = 0
0 = 175.2 + 0 + 0.9dY
0 = 175.2 + 0.9dY

Add '-0.9dY' to each side of the equation.
0 + -0.9dY = 175.2 + 0.9dY + -0.9dY
Remove the zero:
-0.9dY = 175.2 + 0.9dY + -0.9dY

Combine like terms: 0.9dY + -0.9dY = 0.0
-0.9dY = 175.2 + 0.0
-0.9dY = 175.2

Divide each side by '-0.9d'.
Y = -194.6666667d-1

Simplifying
Y = -194.6666667d-1

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