(Y-2)(x-5)=a+3

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Solution for (Y-2)(x-5)=a+3 equation: 


Simplifying
(Y + -2)(x + -5) = a + 3

Reorder the terms:
(-2 + Y)(x + -5) = a + 3

Reorder the terms:
(-2 + Y)(-5 + x) = a + 3

Multiply (-2 + Y) * (-5 + x)
(-2(-5 + x) + Y(-5 + x)) = a + 3
((-5 * -2 + x * -2) + Y(-5 + x)) = a + 3
((10 + -2x) + Y(-5 + x)) = a + 3
(10 + -2x + (-5 * Y + x * Y)) = a + 3
(10 + -2x + (-5Y + xY)) = a + 3

Reorder the terms:
(10 + -5Y + -2x + xY) = a + 3
(10 + -5Y + -2x + xY) = a + 3

Reorder the terms:
10 + -5Y + -2x + xY = 3 + a

Solving
10 + -5Y + -2x + xY = 3 + a

Solving for variable 'Y'.

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

Add '-10' to each side of the equation.
10 + -5Y + -2x + -10 + xY = 3 + -10 + a

Reorder the terms:
10 + -10 + -5Y + -2x + xY = 3 + -10 + a

Combine like terms: 10 + -10 = 0
0 + -5Y + -2x + xY = 3 + -10 + a
-5Y + -2x + xY = 3 + -10 + a

Combine like terms: 3 + -10 = -7
-5Y + -2x + xY = -7 + a

Add '2x' to each side of the equation.
-5Y + -2x + 2x + xY = -7 + a + 2x

Combine like terms: -2x + 2x = 0
-5Y + 0 + xY = -7 + a + 2x
-5Y + xY = -7 + a + 2x

Reorder the terms:
7 + -5Y + -1a + -2x + xY = -7 + a + 2x + 7 + -1a + -2x

Reorder the terms:
7 + -5Y + -1a + -2x + xY = -7 + 7 + a + -1a + 2x + -2x

Combine like terms: -7 + 7 = 0
7 + -5Y + -1a + -2x + xY = 0 + a + -1a + 2x + -2x
7 + -5Y + -1a + -2x + xY = a + -1a + 2x + -2x

Combine like terms: a + -1a = 0
7 + -5Y + -1a + -2x + xY = 0 + 2x + -2x
7 + -5Y + -1a + -2x + xY = 2x + -2x

Combine like terms: 2x + -2x = 0
7 + -5Y + -1a + -2x + xY = 0

The solution to this equation could not be determined.

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