6y+1=5y-7

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Solution for 6y+1=5y-7 equation: 


Simplifying
6y + 1 = 5y + -7

Reorder the terms:
1 + 6y = 5y + -7

Reorder the terms:
1 + 6y = -7 + 5y

Solving
1 + 6y = -7 + 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 + 6y + -5y = -7 + 5y + -5y

Combine like terms: 6y + -5y = 1y
1 + 1y = -7 + 5y + -5y

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

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

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

Combine like terms: -7 + -1 = -8
1y = -8

Divide each side by '1'.
y = -8

Simplifying
y = -8

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