3(2-y)=2(1+3y)-7

Solution for 3(2-y)=2(1+3y)-7 equation:

Simplifying
3(2 + -1y) = 2(1 + 3y) + -7
(2 * 3 + -1y * 3) = 2(1 + 3y) + -7
(6 + -3y) = 2(1 + 3y) + -7
6 + -3y = (1 * 2 + 3y * 2) + -7
6 + -3y = (2 + 6y) + -7

Reorder the terms:
6 + -3y = 2 + -7 + 6y

Combine like terms: 2 + -7 = -5
6 + -3y = -5 + 6y

Solving
6 + -3y = -5 + 6y

Solving for variable 'y'.

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

Add '-6y' to each side of the equation.
6 + -3y + -6y = -5 + 6y + -6y

Combine like terms: -3y + -6y = -9y
6 + -9y = -5 + 6y + -6y

Combine like terms: 6y + -6y = 0
6 + -9y = -5 + 0
6 + -9y = -5

Add '-6' to each side of the equation.
6 + -6 + -9y = -5 + -6

Combine like terms: 6 + -6 = 0
0 + -9y = -5 + -6
-9y = -5 + -6

Combine like terms: -5 + -6 = -11
-9y = -11

Divide each side by '-9'.
y = 1.222222222

Simplifying
y = 1.222222222