a(y-b)-c(y-b)=

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Solution for a(y-b)-c(y-b)= equation:


Simplifying
a(y + -1b) + -1c(y + -1b) = 0

Reorder the terms:
a(-1b + y) + -1c(y + -1b) = 0
(-1b * a + y * a) + -1c(y + -1b) = 0
(-1ab + ay) + -1c(y + -1b) = 0

Reorder the terms:
-1ab + ay + -1c(-1b + y) = 0
-1ab + ay + (-1b * -1c + y * -1c) = 0
-1ab + ay + (1bc + -1cy) = 0

Solving
-1ab + ay + 1bc + -1cy = 0

Solving for variable 'a'.

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

Add '-1bc' to each side of the equation.
-1ab + ay + 1bc + -1bc + -1cy = 0 + -1bc

Combine like terms: 1bc + -1bc = 0
-1ab + ay + 0 + -1cy = 0 + -1bc
-1ab + ay + -1cy = 0 + -1bc
Remove the zero:
-1ab + ay + -1cy = -1bc

Add 'cy' to each side of the equation.
-1ab + ay + -1cy + cy = -1bc + cy

Combine like terms: -1cy + cy = 0
-1ab + ay + 0 = -1bc + cy
-1ab + ay = -1bc + cy

Reorder the terms:
-1ab + ay + bc + -1cy = -1bc + bc + cy + -1cy

Combine like terms: -1bc + bc = 0
-1ab + ay + bc + -1cy = 0 + cy + -1cy
-1ab + ay + bc + -1cy = cy + -1cy

Combine like terms: cy + -1cy = 0
-1ab + ay + bc + -1cy = 0

The solution to this equation could not be determined.

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