2y-6=4y+12

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Solution for 2y-6=4y+12 equation:


Simplifying
2y + -6 = 4y + 12

Reorder the terms:
-6 + 2y = 4y + 12

Reorder the terms:
-6 + 2y = 12 + 4y

Solving
-6 + 2y = 12 + 4y

Solving for variable 'y'.

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

Add '-4y' to each side of the equation.
-6 + 2y + -4y = 12 + 4y + -4y

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

Combine like terms: 4y + -4y = 0
-6 + -2y = 12 + 0
-6 + -2y = 12

Add '6' to each side of the equation.
-6 + 6 + -2y = 12 + 6

Combine like terms: -6 + 6 = 0
0 + -2y = 12 + 6
-2y = 12 + 6

Combine like terms: 12 + 6 = 18
-2y = 18

Divide each side by '-2'.
y = -9

Simplifying
y = -9

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