5y-6=3y-8

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Solution for 5y-6=3y-8 equation:


Simplifying
5y + -6 = 3y + -8

Reorder the terms:
-6 + 5y = 3y + -8

Reorder the terms:
-6 + 5y = -8 + 3y

Solving
-6 + 5y = -8 + 3y

Solving for variable 'y'.

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

Add '-3y' to each side of the equation.
-6 + 5y + -3y = -8 + 3y + -3y

Combine like terms: 5y + -3y = 2y
-6 + 2y = -8 + 3y + -3y

Combine like terms: 3y + -3y = 0
-6 + 2y = -8 + 0
-6 + 2y = -8

Add '6' to each side of the equation.
-6 + 6 + 2y = -8 + 6

Combine like terms: -6 + 6 = 0
0 + 2y = -8 + 6
2y = -8 + 6

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

Divide each side by '2'.
y = -1

Simplifying
y = -1

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