6y-8=5y+2

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Solution for 6y-8=5y+2 equation:


Simplifying
6y + -8 = 5y + 2

Reorder the terms:
-8 + 6y = 5y + 2

Reorder the terms:
-8 + 6y = 2 + 5y

Solving
-8 + 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.
-8 + 6y + -5y = 2 + 5y + -5y

Combine like terms: 6y + -5y = 1y
-8 + 1y = 2 + 5y + -5y

Combine like terms: 5y + -5y = 0
-8 + 1y = 2 + 0
-8 + 1y = 2

Add '8' to each side of the equation.
-8 + 8 + 1y = 2 + 8

Combine like terms: -8 + 8 = 0
0 + 1y = 2 + 8
1y = 2 + 8

Combine like terms: 2 + 8 = 10
1y = 10

Divide each side by '1'.
y = 10

Simplifying
y = 10

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