2y-13=3y-19

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Solution for 2y-13=3y-19 equation:


Simplifying
2y + -13 = 3y + -19

Reorder the terms:
-13 + 2y = 3y + -19

Reorder the terms:
-13 + 2y = -19 + 3y

Solving
-13 + 2y = -19 + 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.
-13 + 2y + -3y = -19 + 3y + -3y

Combine like terms: 2y + -3y = -1y
-13 + -1y = -19 + 3y + -3y

Combine like terms: 3y + -3y = 0
-13 + -1y = -19 + 0
-13 + -1y = -19

Add '13' to each side of the equation.
-13 + 13 + -1y = -19 + 13

Combine like terms: -13 + 13 = 0
0 + -1y = -19 + 13
-1y = -19 + 13

Combine like terms: -19 + 13 = -6
-1y = -6

Divide each side by '-1'.
y = 6

Simplifying
y = 6

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