2y-13=y-5

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Solution for 2y-13=y-5 equation:


Simplifying
2y + -13 = y + -5

Reorder the terms:
-13 + 2y = y + -5

Reorder the terms:
-13 + 2y = -5 + y

Solving
-13 + 2y = -5 + y

Solving for variable 'y'.

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

Add '-1y' to each side of the equation.
-13 + 2y + -1y = -5 + y + -1y

Combine like terms: 2y + -1y = 1y
-13 + 1y = -5 + y + -1y

Combine like terms: y + -1y = 0
-13 + 1y = -5 + 0
-13 + 1y = -5

Add '13' to each side of the equation.
-13 + 13 + 1y = -5 + 13

Combine like terms: -13 + 13 = 0
0 + 1y = -5 + 13
1y = -5 + 13

Combine like terms: -5 + 13 = 8
1y = 8

Divide each side by '1'.
y = 8

Simplifying
y = 8

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