6y-13=11y-38

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Solution for 6y-13=11y-38 equation: 


Simplifying
6y + -13 = 11y + -38

Reorder the terms:
-13 + 6y = 11y + -38

Reorder the terms:
-13 + 6y = -38 + 11y

Solving
-13 + 6y = -38 + 11y

Solving for variable 'y'.

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

Add '-11y' to each side of the equation.
-13 + 6y + -11y = -38 + 11y + -11y

Combine like terms: 6y + -11y = -5y
-13 + -5y = -38 + 11y + -11y

Combine like terms: 11y + -11y = 0
-13 + -5y = -38 + 0
-13 + -5y = -38

Add '13' to each side of the equation.
-13 + 13 + -5y = -38 + 13

Combine like terms: -13 + 13 = 0
0 + -5y = -38 + 13
-5y = -38 + 13

Combine like terms: -38 + 13 = -25
-5y = -25

Divide each side by '-5'.
y = 5

Simplifying
y = 5

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