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

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


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

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

Combine like terms: 2y + 6y = 8y
-2 + 8y = -1

Solving
-2 + 8y = -1

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 + 8y = -1 + 2

Combine like terms: -2 + 2 = 0
0 + 8y = -1 + 2
8y = -1 + 2

Combine like terms: -1 + 2 = 1
8y = 1

Divide each side by '8'.
y = 0.125

Simplifying
y = 0.125

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