3y+2=5y-2

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


Simplifying
3y + 2 = 5y + -2

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

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

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

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

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

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

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

Combine like terms: -2 + -2 = -4
-2y = -4

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

Simplifying
y = 2

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