6y-5(y-1)+1=7

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

Simplifying
6y + -5(y + -1) + 1 = 7

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

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

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

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

Solving
6 + 1y = 7

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add '-6' to each side of the equation.
6 + -6 + 1y = 7 + -6

Combine like terms: 6 + -6 = 0
0 + 1y = 7 + -6
1y = 7 + -6

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

Divide each side by '1'.
y = 1

Simplifying
y = 1