y(3)-6Y(6)+11Y(1)-6Y=Ax-Bx+c

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Solution for y(3)-6Y(6)+11Y(1)-6Y=Ax-Bx+c equation:


Simplifying
y(3) + -6Y(6) + 11Y(1) + -6Y = Ax + -1Bx + c

Reorder the terms for easier multiplication:
3y + -6Y(6) + 11Y(1) + -6Y = Ax + -1Bx + c

Reorder the terms for easier multiplication:
3y + -6 * 6Y + 11Y(1) + -6Y = Ax + -1Bx + c

Multiply -6 * 6
3y + -36Y + 11Y(1) + -6Y = Ax + -1Bx + c

Reorder the terms for easier multiplication:
3y + -36Y + 11 * 1Y + -6Y = Ax + -1Bx + c

Multiply 11 * 1
3y + -36Y + 11Y + -6Y = Ax + -1Bx + c

Reorder the terms:
-36Y + 11Y + -6Y + 3y = Ax + -1Bx + c

Combine like terms: -36Y + 11Y = -25Y
-25Y + -6Y + 3y = Ax + -1Bx + c

Combine like terms: -25Y + -6Y = -31Y
-31Y + 3y = Ax + -1Bx + c

Reorder the terms:
-31Y + 3y = c + xA + -1xB

Solving
-31Y + 3y = c + xA + -1xB

Solving for variable 'Y'.

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

Add '-3y' to each side of the equation.
-31Y + 3y + -3y = c + xA + -1xB + -3y

Combine like terms: 3y + -3y = 0
-31Y + 0 = c + xA + -1xB + -3y
-31Y = c + xA + -1xB + -3y

Divide each side by '-31'.
Y = -0.03225806452c + -0.03225806452xA + 0.03225806452xB + 0.09677419355y

Simplifying
Y = -0.03225806452c + -0.03225806452xA + 0.03225806452xB + 0.09677419355y

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