Y=[a+b(Y-T-ty)]+c-dr+G

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Solution for Y=[a+b(Y-T-ty)]+c-dr+G equation: 


Simplifying
Y = [a + b(Y + -1T + -1ty)] + c + -1dr + G

Reorder the terms:
Y = [a + b(-1T + Y + -1ty)] + c + -1dr + G
Y = [a + (-1T * b + Y * b + -1ty * b)] + c + -1dr + G
Y = [a + (-1bT + bY + -1bty)] + c + -1dr + G

Remove brackets around [a + -1bT + bY + -1bty]
Y = a + -1bT + bY + -1bty + c + -1dr + G

Reorder the terms:
Y = G + a + -1bT + bY + -1bty + c + -1dr

Solving
Y = G + a + -1bT + bY + -1bty + c + -1dr

Solving for variable 'Y'.

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

Add '-1bY' to each side of the equation.
Y + -1bY = G + a + -1bT + bY + -1bty + c + -1bY + -1dr

Reorder the terms:
Y + -1bY = G + a + -1bT + bY + -1bY + -1bty + c + -1dr

Combine like terms: bY + -1bY = 0
Y + -1bY = G + a + -1bT + 0 + -1bty + c + -1dr
Y + -1bY = G + a + -1bT + -1bty + c + -1dr

Reorder the terms:
-1G + Y + -1a + bT + -1bY + bty + -1c + dr = G + a + -1bT + -1bty + c + -1dr + -1G + -1a + bT + bty + -1c + dr

Reorder the terms:
-1G + Y + -1a + bT + -1bY + bty + -1c + dr = G + -1G + a + -1a + -1bT + bT + -1bty + bty + c + -1c + -1dr + dr

Combine like terms: G + -1G = 0
-1G + Y + -1a + bT + -1bY + bty + -1c + dr = 0 + a + -1a + -1bT + bT + -1bty + bty + c + -1c + -1dr + dr
-1G + Y + -1a + bT + -1bY + bty + -1c + dr = a + -1a + -1bT + bT + -1bty + bty + c + -1c + -1dr + dr

Combine like terms: a + -1a = 0
-1G + Y + -1a + bT + -1bY + bty + -1c + dr = 0 + -1bT + bT + -1bty + bty + c + -1c + -1dr + dr
-1G + Y + -1a + bT + -1bY + bty + -1c + dr = -1bT + bT + -1bty + bty + c + -1c + -1dr + dr

Combine like terms: -1bT + bT = 0
-1G + Y + -1a + bT + -1bY + bty + -1c + dr = 0 + -1bty + bty + c + -1c + -1dr + dr
-1G + Y + -1a + bT + -1bY + bty + -1c + dr = -1bty + bty + c + -1c + -1dr + dr

Combine like terms: -1bty + bty = 0
-1G + Y + -1a + bT + -1bY + bty + -1c + dr = 0 + c + -1c + -1dr + dr
-1G + Y + -1a + bT + -1bY + bty + -1c + dr = c + -1c + -1dr + dr

Combine like terms: c + -1c = 0
-1G + Y + -1a + bT + -1bY + bty + -1c + dr = 0 + -1dr + dr
-1G + Y + -1a + bT + -1bY + bty + -1c + dr = -1dr + dr

Combine like terms: -1dr + dr = 0
-1G + Y + -1a + bT + -1bY + bty + -1c + dr = 0

The solution to this equation could not be determined.

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