27*4+5-4+4y-(3y+5)-(2Y)*7=0

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Solution for 27*4+5-4+4y-(3y+5)-(2Y)*7=0 equation: 


Simplifying
27 * 4 + 5 + -4 + 4y + -1(3y + 5) + -1(2Y) * 7 = 0

Multiply 27 * 4
108 + 5 + -4 + 4y + -1(3y + 5) + -1(2Y) * 7 = 0

Reorder the terms:
108 + 5 + -4 + 4y + -1(5 + 3y) + -1(2Y) * 7 = 0
108 + 5 + -4 + 4y + (5 * -1 + 3y * -1) + -1(2Y) * 7 = 0
108 + 5 + -4 + 4y + (-5 + -3y) + -1(2Y) * 7 = 0

Remove parenthesis around (2Y)
108 + 5 + -4 + 4y + -5 + -3y + -1 * 2Y * 7 = 0

Reorder the terms for easier multiplication:
108 + 5 + -4 + 4y + -5 + -3y + -1 * 2 * 7Y = 0

Multiply -1 * 2
108 + 5 + -4 + 4y + -5 + -3y + -2 * 7Y = 0

Multiply -2 * 7
108 + 5 + -4 + 4y + -5 + -3y + -14Y = 0

Reorder the terms:
108 + 5 + -4 + -5 + -14Y + 4y + -3y = 0

Combine like terms: 108 + 5 = 113
113 + -4 + -5 + -14Y + 4y + -3y = 0

Combine like terms: 113 + -4 = 109
109 + -5 + -14Y + 4y + -3y = 0

Combine like terms: 109 + -5 = 104
104 + -14Y + 4y + -3y = 0

Combine like terms: 4y + -3y = 1y
104 + -14Y + 1y = 0

Solving
104 + -14Y + 1y = 0

Solving for variable 'Y'.

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

Add '-104' to each side of the equation.
104 + -14Y + -104 + 1y = 0 + -104

Reorder the terms:
104 + -104 + -14Y + 1y = 0 + -104

Combine like terms: 104 + -104 = 0
0 + -14Y + 1y = 0 + -104
-14Y + 1y = 0 + -104

Combine like terms: 0 + -104 = -104
-14Y + 1y = -104

Add '-1y' to each side of the equation.
-14Y + 1y + -1y = -104 + -1y

Combine like terms: 1y + -1y = 0
-14Y + 0 = -104 + -1y
-14Y = -104 + -1y

Divide each side by '-14'.
Y = 7.428571429 + 0.07142857143y

Simplifying
Y = 7.428571429 + 0.07142857143y

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