3y-6-7y=12-2y+6

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Solution for 3y-6-7y=12-2y+6 equation:


Simplifying
3y + -6 + -7y = 12 + -2y + 6

Reorder the terms:
-6 + 3y + -7y = 12 + -2y + 6

Combine like terms: 3y + -7y = -4y
-6 + -4y = 12 + -2y + 6

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

Combine like terms: 12 + 6 = 18
-6 + -4y = 18 + -2y

Solving
-6 + -4y = 18 + -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 + -4y + 2y = 18 + -2y + 2y

Combine like terms: -4y + 2y = -2y
-6 + -2y = 18 + -2y + 2y

Combine like terms: -2y + 2y = 0
-6 + -2y = 18 + 0
-6 + -2y = 18

Add '6' to each side of the equation.
-6 + 6 + -2y = 18 + 6

Combine like terms: -6 + 6 = 0
0 + -2y = 18 + 6
-2y = 18 + 6

Combine like terms: 18 + 6 = 24
-2y = 24

Divide each side by '-2'.
y = -12

Simplifying
y = -12

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