2y-3=6y+9-y

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Solution for 2y-3=6y+9-y equation:


Simplifying
2y + -3 = 6y + 9 + -1y

Reorder the terms:
-3 + 2y = 6y + 9 + -1y

Reorder the terms:
-3 + 2y = 9 + 6y + -1y

Combine like terms: 6y + -1y = 5y
-3 + 2y = 9 + 5y

Solving
-3 + 2y = 9 + 5y

Solving for variable 'y'.

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

Add '-5y' to each side of the equation.
-3 + 2y + -5y = 9 + 5y + -5y

Combine like terms: 2y + -5y = -3y
-3 + -3y = 9 + 5y + -5y

Combine like terms: 5y + -5y = 0
-3 + -3y = 9 + 0
-3 + -3y = 9

Add '3' to each side of the equation.
-3 + 3 + -3y = 9 + 3

Combine like terms: -3 + 3 = 0
0 + -3y = 9 + 3
-3y = 9 + 3

Combine like terms: 9 + 3 = 12
-3y = 12

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

Simplifying
y = -4

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