3y+5-2=6y+9-y

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Solution for 3y+5-2=6y+9-y equation:


Simplifying
3y + 5 + -2 = 6y + 9 + -1y

Reorder the terms:
5 + -2 + 3y = 6y + 9 + -1y

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

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

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

Solving
3 + 3y = 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 + 3y + -5y = 9 + 5y + -5y

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

Combine like terms: 5y + -5y = 0
3 + -2y = 9 + 0
3 + -2y = 9

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

Combine like terms: 3 + -3 = 0
0 + -2y = 9 + -3
-2y = 9 + -3

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

Divide each side by '-2'.
y = -3

Simplifying
y = -3

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