5y-6=2y+12

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Solution for 5y-6=2y+12 equation:


Simplifying
5y + -6 = 2y + 12

Reorder the terms:
-6 + 5y = 2y + 12

Reorder the terms:
-6 + 5y = 12 + 2y

Solving
-6 + 5y = 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.
-6 + 5y + -2y = 12 + 2y + -2y

Combine like terms: 5y + -2y = 3y
-6 + 3y = 12 + 2y + -2y

Combine like terms: 2y + -2y = 0
-6 + 3y = 12 + 0
-6 + 3y = 12

Add '6' to each side of the equation.
-6 + 6 + 3y = 12 + 6

Combine like terms: -6 + 6 = 0
0 + 3y = 12 + 6
3y = 12 + 6

Combine like terms: 12 + 6 = 18
3y = 18

Divide each side by '3'.
y = 6

Simplifying
y = 6

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