2y-2=3y-13

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Solution for 2y-2=3y-13 equation:


Simplifying
2y + -2 = 3y + -13

Reorder the terms:
-2 + 2y = 3y + -13

Reorder the terms:
-2 + 2y = -13 + 3y

Solving
-2 + 2y = -13 + 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 = -13 + 3y + -3y

Combine like terms: 2y + -3y = -1y
-2 + -1y = -13 + 3y + -3y

Combine like terms: 3y + -3y = 0
-2 + -1y = -13 + 0
-2 + -1y = -13

Add '2' to each side of the equation.
-2 + 2 + -1y = -13 + 2

Combine like terms: -2 + 2 = 0
0 + -1y = -13 + 2
-1y = -13 + 2

Combine like terms: -13 + 2 = -11
-1y = -11

Divide each side by '-1'.
y = 11

Simplifying
y = 11

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