2(y-1)-(y-5)=30

Solution for 2(y-1)-(y-5)=30 equation:

Simplifying
2(y + -1) + -1(y + -5) = 30

Reorder the terms:
2(-1 + y) + -1(y + -5) = 30
(-1 * 2 + y * 2) + -1(y + -5) = 30
(-2 + 2y) + -1(y + -5) = 30

Reorder the terms:
-2 + 2y + -1(-5 + y) = 30
-2 + 2y + (-5 * -1 + y * -1) = 30
-2 + 2y + (5 + -1y) = 30

Reorder the terms:
-2 + 5 + 2y + -1y = 30

Combine like terms: -2 + 5 = 3
3 + 2y + -1y = 30

Combine like terms: 2y + -1y = 1y
3 + 1y = 30

Solving
3 + 1y = 30

Solving for variable 'y'.

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

Add '-3' to each side of the equation.
3 + -3 + 1y = 30 + -3

Combine like terms: 3 + -3 = 0
0 + 1y = 30 + -3
1y = 30 + -3

Combine like terms: 30 + -3 = 27
1y = 27

Divide each side by '1'.
y = 27

Simplifying
y = 27