3(y-1)-4y=5-2(y+1)

Solution for 3(y-1)-4y=5-2(y+1) equation:

Simplifying
3(y + -1) + -4y = 5 + -2(y + 1)

Reorder the terms:
3(-1 + y) + -4y = 5 + -2(y + 1)
(-1 * 3 + y * 3) + -4y = 5 + -2(y + 1)
(-3 + 3y) + -4y = 5 + -2(y + 1)

Combine like terms: 3y + -4y = -1y
-3 + -1y = 5 + -2(y + 1)

Reorder the terms:
-3 + -1y = 5 + -2(1 + y)
-3 + -1y = 5 + (1 * -2 + y * -2)
-3 + -1y = 5 + (-2 + -2y)

Combine like terms: 5 + -2 = 3
-3 + -1y = 3 + -2y

Solving
-3 + -1y = 3 + -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.
-3 + -1y + 2y = 3 + -2y + 2y

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

Combine like terms: -2y + 2y = 0
-3 + 1y = 3 + 0
-3 + 1y = 3

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

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

Combine like terms: 3 + 3 = 6
1y = 6

Divide each side by '1'.
y = 6

Simplifying
y = 6