5y+8=2y+2+(-3)

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


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

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

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

Combine like terms: 2 + -3 = -1
8 + 5y = -1 + 2y

Solving
8 + 5y = -1 + 2y

Solving for variable 'y'.

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

Add '-2y' to each side of the equation.
8 + 5y + -2y = -1 + 2y + -2y

Combine like terms: 5y + -2y = 3y
8 + 3y = -1 + 2y + -2y

Combine like terms: 2y + -2y = 0
8 + 3y = -1 + 0
8 + 3y = -1

Add '-8' to each side of the equation.
8 + -8 + 3y = -1 + -8

Combine like terms: 8 + -8 = 0
0 + 3y = -1 + -8
3y = -1 + -8

Combine like terms: -1 + -8 = -9
3y = -9

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

Simplifying
y = -3

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