5y+2=3y-8

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


Simplifying
5y + 2 = 3y + -8

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

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

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

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

Combine like terms: 3y + -3y = 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 = -10
2y = -10

Divide each side by '2'.
y = -5

Simplifying
y = -5

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