2y-13=2x-5

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


Simplifying
2y + -13 = 2x + -5

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

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

Solving
-13 + 2y = -5 + 2x

Solving for variable 'y'.

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

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

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

Combine like terms: -5 + 13 = 8
2y = 8 + 2x

Divide each side by '2'.
y = 4 + x

Simplifying
y = 4 + x

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