2y-9=3y-6

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


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

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

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

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

Solving for variable 'y'.

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

Add '-3y' to each side of the equation.
-9 + 2y + -3y = -6 + 3y + -3y

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

Combine like terms: 3y + -3y = 0
-9 + -1y = -6 + 0
-9 + -1y = -6

Add '9' to each side of the equation.
-9 + 9 + -1y = -6 + 9

Combine like terms: -9 + 9 = 0
0 + -1y = -6 + 9
-1y = -6 + 9

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

Divide each side by '-1'.
y = -3

Simplifying
y = -3

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