4-2(y-1)=3(2-y)-10

Solution for 4-2(y-1)=3(2-y)-10 equation:

Simplifying
4 + -2(y + -1) = 3(2 + -1y) + -10

Reorder the terms:
4 + -2(-1 + y) = 3(2 + -1y) + -10
4 + (-1 * -2 + y * -2) = 3(2 + -1y) + -10
4 + (2 + -2y) = 3(2 + -1y) + -10

Combine like terms: 4 + 2 = 6
6 + -2y = 3(2 + -1y) + -10
6 + -2y = (2 * 3 + -1y * 3) + -10
6 + -2y = (6 + -3y) + -10

Reorder the terms:
6 + -2y = 6 + -10 + -3y

Combine like terms: 6 + -10 = -4
6 + -2y = -4 + -3y

Solving
6 + -2y = -4 + -3y

Solving for variable 'y'.

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

Add '3y' to each side of the equation.
6 + -2y + 3y = -4 + -3y + 3y

Combine like terms: -2y + 3y = 1y
6 + 1y = -4 + -3y + 3y

Combine like terms: -3y + 3y = 0
6 + 1y = -4 + 0
6 + 1y = -4

Add '-6' to each side of the equation.
6 + -6 + 1y = -4 + -6

Combine like terms: 6 + -6 = 0
0 + 1y = -4 + -6
1y = -4 + -6

Combine like terms: -4 + -6 = -10
1y = -10

Divide each side by '1'.
y = -10

Simplifying
y = -10