2(y-8)=6y-36

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Solution for 2(y-8)=6y-36 equation:


Simplifying
2(y + -8) = 6y + -36

Reorder the terms:
2(-8 + y) = 6y + -36
(-8 * 2 + y * 2) = 6y + -36
(-16 + 2y) = 6y + -36

Reorder the terms:
-16 + 2y = -36 + 6y

Solving
-16 + 2y = -36 + 6y

Solving for variable 'y'.

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

Add '-6y' to each side of the equation.
-16 + 2y + -6y = -36 + 6y + -6y

Combine like terms: 2y + -6y = -4y
-16 + -4y = -36 + 6y + -6y

Combine like terms: 6y + -6y = 0
-16 + -4y = -36 + 0
-16 + -4y = -36

Add '16' to each side of the equation.
-16 + 16 + -4y = -36 + 16

Combine like terms: -16 + 16 = 0
0 + -4y = -36 + 16
-4y = -36 + 16

Combine like terms: -36 + 16 = -20
-4y = -20

Divide each side by '-4'.
y = 5

Simplifying
y = 5

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