2(y-3)=6(6-4y)

Solution for 2(y-3)=6(6-4y) equation:

Simplifying
2(y + -3) = 6(6 + -4y)

Reorder the terms:
2(-3 + y) = 6(6 + -4y)
(-3 * 2 + y * 2) = 6(6 + -4y)
(-6 + 2y) = 6(6 + -4y)
-6 + 2y = (6 * 6 + -4y * 6)
-6 + 2y = (36 + -24y)

Solving
-6 + 2y = 36 + -24y

Solving for variable 'y'.

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

Add '24y' to each side of the equation.
-6 + 2y + 24y = 36 + -24y + 24y

Combine like terms: 2y + 24y = 26y
-6 + 26y = 36 + -24y + 24y

Combine like terms: -24y + 24y = 0
-6 + 26y = 36 + 0
-6 + 26y = 36

Add '6' to each side of the equation.
-6 + 6 + 26y = 36 + 6

Combine like terms: -6 + 6 = 0
0 + 26y = 36 + 6
26y = 36 + 6

Combine like terms: 36 + 6 = 42
26y = 42

Divide each side by '26'.
y = 1.615384615

Simplifying
y = 1.615384615