6y-16=2y+12

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Solution for 6y-16=2y+12 equation:


Simplifying
6y + -16 = 2y + 12

Reorder the terms:
-16 + 6y = 2y + 12

Reorder the terms:
-16 + 6y = 12 + 2y

Solving
-16 + 6y = 12 + 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.
-16 + 6y + -2y = 12 + 2y + -2y

Combine like terms: 6y + -2y = 4y
-16 + 4y = 12 + 2y + -2y

Combine like terms: 2y + -2y = 0
-16 + 4y = 12 + 0
-16 + 4y = 12

Add '16' to each side of the equation.
-16 + 16 + 4y = 12 + 16

Combine like terms: -16 + 16 = 0
0 + 4y = 12 + 16
4y = 12 + 16

Combine like terms: 12 + 16 = 28
4y = 28

Divide each side by '4'.
y = 7

Simplifying
y = 7

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