2(y-3)-y=1

Solution for 2(y-3)-y=1 equation:

Simplifying
2(y + -3) + -1y = 1

Reorder the terms:
2(-3 + y) + -1y = 1
(-3 * 2 + y * 2) + -1y = 1
(-6 + 2y) + -1y = 1

Combine like terms: 2y + -1y = 1y
-6 + 1y = 1

Solving
-6 + 1y = 1

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 = 1 + 6

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

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

Divide each side by '1'.
y = 7

Simplifying
y = 7