(a+b)(x+y)=(a+b)(a+b)y

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Solution for (a+b)(x+y)=(a+b)(a+b)y equation: 


Simplifying
(a + b)(x + y) = (a + b)(a + b) * y

Multiply (a + b) * (x + y)
(a(x + y) + b(x + y)) = (a + b)(a + b) * y
((x * a + y * a) + b(x + y)) = (a + b)(a + b) * y
((ax + ay) + b(x + y)) = (a + b)(a + b) * y
(ax + ay + (x * b + y * b)) = (a + b)(a + b) * y
(ax + ay + (bx + by)) = (a + b)(a + b) * y
(ax + ay + bx + by) = (a + b)(a + b) * y

Reorder the terms for easier multiplication:
ax + ay + bx + by = y(a + b)(a + b)

Multiply (a + b) * (a + b)
ax + ay + bx + by = y(a(a + b) + b(a + b))
ax + ay + bx + by = y((a * a + b * a) + b(a + b))

Reorder the terms:
ax + ay + bx + by = y((ab + a2) + b(a + b))
ax + ay + bx + by = y((ab + a2) + b(a + b))
ax + ay + bx + by = y(ab + a2 + (a * b + b * b))
ax + ay + bx + by = y(ab + a2 + (ab + b2))

Reorder the terms:
ax + ay + bx + by = y(ab + ab + a2 + b2)

Combine like terms: ab + ab = 2ab
ax + ay + bx + by = y(2ab + a2 + b2)
ax + ay + bx + by = (2ab * y + a2 * y + b2 * y)
ax + ay + bx + by = (2aby + a2y + b2y)

Solving
ax + ay + bx + by = 2aby + a2y + b2y

Solving for variable 'a'.

Reorder the terms:
-2aby + ax + ay + -1a2y + bx + by + -1b2y = 2aby + a2y + b2y + -2aby + -1a2y + -1b2y

Reorder the terms:
-2aby + ax + ay + -1a2y + bx + by + -1b2y = 2aby + -2aby + a2y + -1a2y + b2y + -1b2y

Combine like terms: 2aby + -2aby = 0
-2aby + ax + ay + -1a2y + bx + by + -1b2y = 0 + a2y + -1a2y + b2y + -1b2y
-2aby + ax + ay + -1a2y + bx + by + -1b2y = a2y + -1a2y + b2y + -1b2y

Combine like terms: a2y + -1a2y = 0
-2aby + ax + ay + -1a2y + bx + by + -1b2y = 0 + b2y + -1b2y
-2aby + ax + ay + -1a2y + bx + by + -1b2y = b2y + -1b2y

Combine like terms: b2y + -1b2y = 0
-2aby + ax + ay + -1a2y + bx + by + -1b2y = 0

The solution to this equation could not be determined.

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