2(y-3)-6y=22

Solution for 2(y-3)-6y=22 equation:

Simplifying
2(y + -3) + -6y = 22

Reorder the terms:
2(-3 + y) + -6y = 22
(-3 * 2 + y * 2) + -6y = 22
(-6 + 2y) + -6y = 22

Combine like terms: 2y + -6y = -4y
-6 + -4y = 22

Solving
-6 + -4y = 22

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 = 22 + 6

Combine like terms: -6 + 6 = 0
0 + -4y = 22 + 6
-4y = 22 + 6

Combine like terms: 22 + 6 = 28
-4y = 28

Divide each side by '-4'.
y = -7

Simplifying
y = -7