2y-2=3y-9

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


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

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

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

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

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

Combine like terms: 3y + -3y = 0
-2 + -1y = -9 + 0
-2 + -1y = -9

Add '2' to each side of the equation.
-2 + 2 + -1y = -9 + 2

Combine like terms: -2 + 2 = 0
0 + -1y = -9 + 2
-1y = -9 + 2

Combine like terms: -9 + 2 = -7
-1y = -7

Divide each side by '-1'.
y = 7

Simplifying
y = 7

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