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

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

Simplifying
3(4 + -1y) = 2(y + -7) + -3(y + 2)
(4 * 3 + -1y * 3) = 2(y + -7) + -3(y + 2)
(12 + -3y) = 2(y + -7) + -3(y + 2)

Reorder the terms:
12 + -3y = 2(-7 + y) + -3(y + 2)
12 + -3y = (-7 * 2 + y * 2) + -3(y + 2)
12 + -3y = (-14 + 2y) + -3(y + 2)

Reorder the terms:
12 + -3y = -14 + 2y + -3(2 + y)
12 + -3y = -14 + 2y + (2 * -3 + y * -3)
12 + -3y = -14 + 2y + (-6 + -3y)

Reorder the terms:
12 + -3y = -14 + -6 + 2y + -3y

Combine like terms: -14 + -6 = -20
12 + -3y = -20 + 2y + -3y

Combine like terms: 2y + -3y = -1y
12 + -3y = -20 + -1y

Solving
12 + -3y = -20 + -1y

Solving for variable 'y'.

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

Add 'y' to each side of the equation.
12 + -3y + y = -20 + -1y + y

Combine like terms: -3y + y = -2y
12 + -2y = -20 + -1y + y

Combine like terms: -1y + y = 0
12 + -2y = -20 + 0
12 + -2y = -20

Add '-12' to each side of the equation.
12 + -12 + -2y = -20 + -12

Combine like terms: 12 + -12 = 0
0 + -2y = -20 + -12
-2y = -20 + -12

Combine like terms: -20 + -12 = -32
-2y = -32

Divide each side by '-2'.
y = 16

Simplifying
y = 16