-2(3+y)=3(4y+8)

Solution for -2(3+y)=3(4y+8) equation:

Simplifying
-2(3 + y) = 3(4y + 8)
(3 * -2 + y * -2) = 3(4y + 8)
(-6 + -2y) = 3(4y + 8)

Reorder the terms:
-6 + -2y = 3(8 + 4y)
-6 + -2y = (8 * 3 + 4y * 3)
-6 + -2y = (24 + 12y)

Solving
-6 + -2y = 24 + 12y

Solving for variable 'y'.

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

Add '-12y' to each side of the equation.
-6 + -2y + -12y = 24 + 12y + -12y

Combine like terms: -2y + -12y = -14y
-6 + -14y = 24 + 12y + -12y

Combine like terms: 12y + -12y = 0
-6 + -14y = 24 + 0
-6 + -14y = 24

Add '6' to each side of the equation.
-6 + 6 + -14y = 24 + 6

Combine like terms: -6 + 6 = 0
0 + -14y = 24 + 6
-14y = 24 + 6

Combine like terms: 24 + 6 = 30
-14y = 30

Divide each side by '-14'.
y = -2.142857143

Simplifying
y = -2.142857143