2-4(y-1)=3(2y+8)

Solution for 2-4(y-1)=3(2y+8) equation:

Simplifying
2 + -4(y + -1) = 3(2y + 8)

Reorder the terms:
2 + -4(-1 + y) = 3(2y + 8)
2 + (-1 * -4 + y * -4) = 3(2y + 8)
2 + (4 + -4y) = 3(2y + 8)

Combine like terms: 2 + 4 = 6
6 + -4y = 3(2y + 8)

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

Solving
6 + -4y = 24 + 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 + -4y + -6y = 24 + 6y + -6y

Combine like terms: -4y + -6y = -10y
6 + -10y = 24 + 6y + -6y

Combine like terms: 6y + -6y = 0
6 + -10y = 24 + 0
6 + -10y = 24

Add '-6' to each side of the equation.
6 + -6 + -10y = 24 + -6

Combine like terms: 6 + -6 = 0
0 + -10y = 24 + -6
-10y = 24 + -6

Combine like terms: 24 + -6 = 18
-10y = 18

Divide each side by '-10'.
y = -1.8

Simplifying
y = -1.8