2y+1=-5y-41

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Solution for 2y+1=-5y-41 equation: 


Simplifying
2y + 1 = -5y + -41

Reorder the terms:
1 + 2y = -5y + -41

Reorder the terms:
1 + 2y = -41 + -5y

Solving
1 + 2y = -41 + -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 = -41 + -5y + 5y

Combine like terms: 2y + 5y = 7y
1 + 7y = -41 + -5y + 5y

Combine like terms: -5y + 5y = 0
1 + 7y = -41 + 0
1 + 7y = -41

Add '-1' to each side of the equation.
1 + -1 + 7y = -41 + -1

Combine like terms: 1 + -1 = 0
0 + 7y = -41 + -1
7y = -41 + -1

Combine like terms: -41 + -1 = -42
7y = -42

Divide each side by '7'.
y = -6

Simplifying
y = -6

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