Y-2(6y+7)+4y-9=-2

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Solution for Y-2(6y+7)+4y-9=-2 equation: 


Simplifying
Y + -2(6y + 7) + 4y + -9 = -2

Reorder the terms:
Y + -2(7 + 6y) + 4y + -9 = -2
Y + (7 * -2 + 6y * -2) + 4y + -9 = -2
Y + (-14 + -12y) + 4y + -9 = -2

Reorder the terms:
-14 + -9 + Y + -12y + 4y = -2

Combine like terms: -14 + -9 = -23
-23 + Y + -12y + 4y = -2

Combine like terms: -12y + 4y = -8y
-23 + Y + -8y = -2

Solving
-23 + Y + -8y = -2

Solving for variable 'Y'.

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

Add '23' to each side of the equation.
-23 + Y + 23 + -8y = -2 + 23

Reorder the terms:
-23 + 23 + Y + -8y = -2 + 23

Combine like terms: -23 + 23 = 0
0 + Y + -8y = -2 + 23
Y + -8y = -2 + 23

Combine like terms: -2 + 23 = 21
Y + -8y = 21

Add '8y' to each side of the equation.
Y + -8y + 8y = 21 + 8y

Combine like terms: -8y + 8y = 0
Y + 0 = 21 + 8y
Y = 21 + 8y

Simplifying
Y = 21 + 8y

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