5y+1=2y-8

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Solution for 5y+1=2y-8 equation: 


Simplifying
5y + 1 = 2y + -8

Reorder the terms:
1 + 5y = 2y + -8

Reorder the terms:
1 + 5y = -8 + 2y

Solving
1 + 5y = -8 + 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.
1 + 5y + -2y = -8 + 2y + -2y

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

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

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

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

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

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

Simplifying
y = -3

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