6+2(7y-7)=-2(4y-1)+8y

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Solution for 6+2(7y-7)=-2(4y-1)+8y equation: 


Simplifying
6 + 2(7y + -7) = -2(4y + -1) + 8y

Reorder the terms:
6 + 2(-7 + 7y) = -2(4y + -1) + 8y
6 + (-7 * 2 + 7y * 2) = -2(4y + -1) + 8y
6 + (-14 + 14y) = -2(4y + -1) + 8y

Combine like terms: 6 + -14 = -8
-8 + 14y = -2(4y + -1) + 8y

Reorder the terms:
-8 + 14y = -2(-1 + 4y) + 8y
-8 + 14y = (-1 * -2 + 4y * -2) + 8y
-8 + 14y = (2 + -8y) + 8y

Combine like terms: -8y + 8y = 0
-8 + 14y = 2 + 0
-8 + 14y = 2

Solving
-8 + 14y = 2

Solving for variable 'y'.

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

Add '8' to each side of the equation.
-8 + 8 + 14y = 2 + 8

Combine like terms: -8 + 8 = 0
0 + 14y = 2 + 8
14y = 2 + 8

Combine like terms: 2 + 8 = 10
14y = 10

Divide each side by '14'.
y = 0.7142857143

Simplifying
y = 0.7142857143

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