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

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

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

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

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

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

Reorder the terms:
2 + -1y = -3(-2 + y)
2 + -1y = (-2 * -3 + y * -3)
2 + -1y = (6 + -3y)

Solving
2 + -1y = 6 + -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.
2 + -1y + 3y = 6 + -3y + 3y

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

Combine like terms: -3y + 3y = 0
2 + 2y = 6 + 0
2 + 2y = 6

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

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

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

Divide each side by '2'.
y = 2

Simplifying
y = 2