3y-6=7y+6

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


Simplifying
3y + -6 = 7y + 6

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

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

Solving
-6 + 3y = 6 + 7y

Solving for variable 'y'.

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

Add '-7y' to each side of the equation.
-6 + 3y + -7y = 6 + 7y + -7y

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

Combine like terms: 7y + -7y = 0
-6 + -4y = 6 + 0
-6 + -4y = 6

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

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

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

Divide each side by '-4'.
y = -3

Simplifying
y = -3

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