2(y-4)=6y-11-y

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Solution for 2(y-4)=6y-11-y equation:


Simplifying
2(y + -4) = 6y + -11 + -1y

Reorder the terms:
2(-4 + y) = 6y + -11 + -1y
(-4 * 2 + y * 2) = 6y + -11 + -1y
(-8 + 2y) = 6y + -11 + -1y

Reorder the terms:
-8 + 2y = -11 + 6y + -1y

Combine like terms: 6y + -1y = 5y
-8 + 2y = -11 + 5y

Solving
-8 + 2y = -11 + 5y

Solving for variable 'y'.

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

Add '-5y' to each side of the equation.
-8 + 2y + -5y = -11 + 5y + -5y

Combine like terms: 2y + -5y = -3y
-8 + -3y = -11 + 5y + -5y

Combine like terms: 5y + -5y = 0
-8 + -3y = -11 + 0
-8 + -3y = -11

Add '8' to each side of the equation.
-8 + 8 + -3y = -11 + 8

Combine like terms: -8 + 8 = 0
0 + -3y = -11 + 8
-3y = -11 + 8

Combine like terms: -11 + 8 = -3
-3y = -3

Divide each side by '-3'.
y = 1

Simplifying
y = 1

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