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

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


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

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

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

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

Combine like terms: 108 + 5 = 113
113 + -4 + -5 + 4y + -3y = (2Y) * 7

Combine like terms: 113 + -4 = 109
109 + -5 + 4y + -3y = (2Y) * 7

Combine like terms: 109 + -5 = 104
104 + 4y + -3y = (2Y) * 7

Combine like terms: 4y + -3y = 1y
104 + 1y = (2Y) * 7

Remove parenthesis around (2Y)
104 + 1y = 2Y * 7

Reorder the terms for easier multiplication:
104 + 1y = 2 * 7Y

Multiply 2 * 7
104 + 1y = 14Y

Solving
104 + 1y = 14Y

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 + -104 + 1y = -104 + 14Y

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

Divide each side by '1'.
y = -104 + 14Y

Simplifying
y = -104 + 14Y

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