6y-13=5y-2

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Solution for 6y-13=5y-2 equation:


Simplifying
6y + -13 = 5y + -2

Reorder the terms:
-13 + 6y = 5y + -2

Reorder the terms:
-13 + 6y = -2 + 5y

Solving
-13 + 6y = -2 + 5y

Solving for variable 'y'.

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

Add '-5y' to each side of the equation.
-13 + 6y + -5y = -2 + 5y + -5y

Combine like terms: 6y + -5y = 1y
-13 + 1y = -2 + 5y + -5y

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

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

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

Combine like terms: -2 + 13 = 11
1y = 11

Divide each side by '1'.
y = 11

Simplifying
y = 11

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