6y-(2y-6)=30

Solution for 6y-(2y-6)=30 equation:

Simplifying
6y + -1(2y + -6) = 30

Reorder the terms:
6y + -1(-6 + 2y) = 30
6y + (-6 * -1 + 2y * -1) = 30
6y + (6 + -2y) = 30

Reorder the terms:
6 + 6y + -2y = 30

Combine like terms: 6y + -2y = 4y
6 + 4y = 30

Solving
6 + 4y = 30

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 + 4y = 30 + -6

Combine like terms: 6 + -6 = 0
0 + 4y = 30 + -6
4y = 30 + -6

Combine like terms: 30 + -6 = 24
4y = 24

Divide each side by '4'.
y = 6

Simplifying
y = 6