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

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

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

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

Solving
-6 + 8y = 4 + 2y

Solving for variable 'y'.

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

Add '-2y' to each side of the equation.
-6 + 8y + -2y = 4 + 2y + -2y

Combine like terms: 8y + -2y = 6y
-6 + 6y = 4 + 2y + -2y

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

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

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

Combine like terms: 4 + 6 = 10
6y = 10

Divide each side by '6'.
y = 1.666666667

Simplifying
y = 1.666666667