3y-2=5y-8

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Solution for 3y-2=5y-8 equation:


Simplifying
3y + -2 = 5y + -8

Reorder the terms:
-2 + 3y = 5y + -8

Reorder the terms:
-2 + 3y = -8 + 5y

Solving
-2 + 3y = -8 + 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.
-2 + 3y + -5y = -8 + 5y + -5y

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

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

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

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

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

Divide each side by '-2'.
y = 3

Simplifying
y = 3

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