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

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


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

Reorder the terms:
(m + y)(a + m) + -1(y + m)(a + b) = 0

Multiply (m + y) * (a + m)
(m(a + m) + y(a + m)) + -1(y + m)(a + b) = 0
((a * m + m * m) + y(a + m)) + -1(y + m)(a + b) = 0
((am + m2) + y(a + m)) + -1(y + m)(a + b) = 0
(am + m2 + (a * y + m * y)) + -1(y + m)(a + b) = 0
(am + m2 + (ay + my)) + -1(y + m)(a + b) = 0

Reorder the terms:
(am + ay + my + m2) + -1(y + m)(a + b) = 0
(am + ay + my + m2) + -1(y + m)(a + b) = 0

Reorder the terms:
am + ay + my + m2 + -1(m + y)(a + b) = 0

Multiply (m + y) * (a + b)
am + ay + my + m2 + -1(m(a + b) + y(a + b)) = 0
am + ay + my + m2 + -1((a * m + b * m) + y(a + b)) = 0
am + ay + my + m2 + -1((am + bm) + y(a + b)) = 0
am + ay + my + m2 + -1(am + bm + (a * y + b * y)) = 0
am + ay + my + m2 + -1(am + bm + (ay + by)) = 0

Reorder the terms:
am + ay + my + m2 + -1(am + ay + bm + by) = 0
am + ay + my + m2 + -1(am + ay + bm + by) = 0
am + ay + my + m2 + (am * -1 + ay * -1 + bm * -1 + by * -1) = 0
am + ay + my + m2 + (-1am + -1ay + -1bm + -1by) = 0

Reorder the terms:
am + -1am + ay + -1ay + -1bm + -1by + my + m2 = 0

Combine like terms: am + -1am = 0
0 + ay + -1ay + -1bm + -1by + my + m2 = 0
ay + -1ay + -1bm + -1by + my + m2 = 0

Combine like terms: ay + -1ay = 0
0 + -1bm + -1by + my + m2 = 0
-1bm + -1by + my + m2 = 0

Solving
-1bm + -1by + my + m2 = 0

Solving for variable 'b'.

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

Add '-1my' to each side of the equation.
-1bm + -1by + my + -1my + m2 = 0 + -1my

Combine like terms: my + -1my = 0
-1bm + -1by + 0 + m2 = 0 + -1my
-1bm + -1by + m2 = 0 + -1my
Remove the zero:
-1bm + -1by + m2 = -1my

Add '-1m2' to each side of the equation.
-1bm + -1by + m2 + -1m2 = -1my + -1m2

Combine like terms: m2 + -1m2 = 0
-1bm + -1by + 0 = -1my + -1m2
-1bm + -1by = -1my + -1m2

Reorder the terms:
-1bm + -1by + my + m2 = -1my + my + -1m2 + m2

Combine like terms: -1my + my = 0
-1bm + -1by + my + m2 = 0 + -1m2 + m2
-1bm + -1by + my + m2 = -1m2 + m2

Combine like terms: -1m2 + m2 = 0
-1bm + -1by + my + m2 = 0

The solution to this equation could not be determined.

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