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

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

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

Reorder the terms:
6 + -2y = 3(7 + 2y)
6 + -2y = (7 * 3 + 2y * 3)
6 + -2y = (21 + 6y)

Solving
6 + -2y = 21 + 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 + -2y + -6y = 21 + 6y + -6y

Combine like terms: -2y + -6y = -8y
6 + -8y = 21 + 6y + -6y

Combine like terms: 6y + -6y = 0
6 + -8y = 21 + 0
6 + -8y = 21

Add '-6' to each side of the equation.
6 + -6 + -8y = 21 + -6

Combine like terms: 6 + -6 = 0
0 + -8y = 21 + -6
-8y = 21 + -6

Combine like terms: 21 + -6 = 15
-8y = 15

Divide each side by '-8'.
y = -1.875

Simplifying
y = -1.875