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

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


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

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

Reorder the terms:
6 + -6y = 7 + 4 + 2y + -1y

Combine like terms: 7 + 4 = 11
6 + -6y = 11 + 2y + -1y

Combine like terms: 2y + -1y = 1y
6 + -6y = 11 + 1y

Solving
6 + -6y = 11 + 1y

Solving for variable 'y'.

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

Add '-1y' to each side of the equation.
6 + -6y + -1y = 11 + 1y + -1y

Combine like terms: -6y + -1y = -7y
6 + -7y = 11 + 1y + -1y

Combine like terms: 1y + -1y = 0
6 + -7y = 11 + 0
6 + -7y = 11

Add '-6' to each side of the equation.
6 + -6 + -7y = 11 + -6

Combine like terms: 6 + -6 = 0
0 + -7y = 11 + -6
-7y = 11 + -6

Combine like terms: 11 + -6 = 5
-7y = 5

Divide each side by '-7'.
y = -0.7142857143

Simplifying
y = -0.7142857143

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