2(3-7y)=4y+2

Solution for 2(3-7y)=4y+2 equation:

Simplifying
2(3 + -7y) = 4y + 2
(3 * 2 + -7y * 2) = 4y + 2
(6 + -14y) = 4y + 2

Reorder the terms:
6 + -14y = 2 + 4y

Solving
6 + -14y = 2 + 4y

Solving for variable 'y'.

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

Add '-4y' to each side of the equation.
6 + -14y + -4y = 2 + 4y + -4y

Combine like terms: -14y + -4y = -18y
6 + -18y = 2 + 4y + -4y

Combine like terms: 4y + -4y = 0
6 + -18y = 2 + 0
6 + -18y = 2

Add '-6' to each side of the equation.
6 + -6 + -18y = 2 + -6

Combine like terms: 6 + -6 = 0
0 + -18y = 2 + -6
-18y = 2 + -6

Combine like terms: 2 + -6 = -4
-18y = -4

Divide each side by '-18'.
y = 0.2222222222

Simplifying
y = 0.2222222222