2(y-1)=-6

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


Simplifying
2(y + -1) = -6

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

Solving
-2 + 2y = -6

Solving for variable 'y'.

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

Add '2' to each side of the equation.
-2 + 2 + 2y = -6 + 2

Combine like terms: -2 + 2 = 0
0 + 2y = -6 + 2
2y = -6 + 2

Combine like terms: -6 + 2 = -4
2y = -4

Divide each side by '2'.
y = -2

Simplifying
y = -2

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