6y+14=2y-12

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Solution for 6y+14=2y-12 equation:


Simplifying
6y + 14 = 2y + -12

Reorder the terms:
14 + 6y = 2y + -12

Reorder the terms:
14 + 6y = -12 + 2y

Solving
14 + 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.
14 + 6y + -2y = -12 + 2y + -2y

Combine like terms: 6y + -2y = 4y
14 + 4y = -12 + 2y + -2y

Combine like terms: 2y + -2y = 0
14 + 4y = -12 + 0
14 + 4y = -12

Add '-14' to each side of the equation.
14 + -14 + 4y = -12 + -14

Combine like terms: 14 + -14 = 0
0 + 4y = -12 + -14
4y = -12 + -14

Combine like terms: -12 + -14 = -26
4y = -26

Divide each side by '4'.
y = -6.5

Simplifying
y = -6.5

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