2y+1=5y-5

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


Simplifying
2y + 1 = 5y + -5

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

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

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

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

Combine like terms: 5y + -5y = 0
1 + -3y = -5 + 0
1 + -3y = -5

Add '-1' to each side of the equation.
1 + -1 + -3y = -5 + -1

Combine like terms: 1 + -1 = 0
0 + -3y = -5 + -1
-3y = -5 + -1

Combine like terms: -5 + -1 = -6
-3y = -6

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

Simplifying
y = 2

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