y-5=2y-13

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


Simplifying
y + -5 = 2y + -13

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

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

Solving
-5 + y = -13 + 2y

Solving for variable 'y'.

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

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

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

Combine like terms: 2y + -2y = 0
-5 + -1y = -13 + 0
-5 + -1y = -13

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

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

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

Divide each side by '-1'.
y = 8

Simplifying
y = 8

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