y-a=m(a-b)

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


Simplifying
y + -1a = m(a + -1b)

Reorder the terms:
-1a + y = m(a + -1b)
-1a + y = (a * m + -1b * m)
-1a + y = (am + -1bm)

Solving
-1a + y = am + -1bm

Solving for variable 'a'.

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

Add '-1am' to each side of the equation.
-1a + -1am + y = am + -1am + -1bm

Combine like terms: am + -1am = 0
-1a + -1am + y = 0 + -1bm
-1a + -1am + y = -1bm

Add '-1y' to each side of the equation.
-1a + -1am + y + -1y = -1bm + -1y

Combine like terms: y + -1y = 0
-1a + -1am + 0 = -1bm + -1y
-1a + -1am = -1bm + -1y

Reorder the terms:
-1a + -1am + bm + y = -1bm + bm + -1y + y

Combine like terms: -1bm + bm = 0
-1a + -1am + bm + y = 0 + -1y + y
-1a + -1am + bm + y = -1y + y

Combine like terms: -1y + y = 0
-1a + -1am + bm + y = 0

The solution to this equation could not be determined.

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