7y+1-y=5+5y+1

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

Simplifying
7y + 1 + -1y = 5 + 5y + 1

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

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

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

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

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

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

Combine like terms: 5y + -5y = 0
1 + 1y = 6 + 0
1 + 1y = 6

Add '-1' to each side of the equation.
1 + -1 + 1y = 6 + -1

Combine like terms: 1 + -1 = 0
0 + 1y = 6 + -1
1y = 6 + -1

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

Divide each side by '1'.
y = 5

Simplifying
y = 5