(y-1)=2y+6

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


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

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

Remove parenthesis around (-1 + y)
-1 + y = 2y + 6

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

Solving
-1 + y = 6 + 2y

Solving for variable 'y'.

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

Add '-2y' to each side of the equation.
-1 + y + -2y = 6 + 2y + -2y

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

Combine like terms: 2y + -2y = 0
-1 + -1y = 6 + 0
-1 + -1y = 6

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

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

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

Divide each side by '-1'.
y = -7

Simplifying
y = -7

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