y-2(y-11)=-3(y-2)

Solution for y-2(y-11)=-3(y-2) equation:

Simplifying
y + -2(y + -11) = -3(y + -2)

Reorder the terms:
y + -2(-11 + y) = -3(y + -2)
y + (-11 * -2 + y * -2) = -3(y + -2)
y + (22 + -2y) = -3(y + -2)

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

Combine like terms: y + -2y = -1y
22 + -1y = -3(y + -2)

Reorder the terms:
22 + -1y = -3(-2 + y)
22 + -1y = (-2 * -3 + y * -3)
22 + -1y = (6 + -3y)

Solving
22 + -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.
22 + -1y + 3y = 6 + -3y + 3y

Combine like terms: -1y + 3y = 2y
22 + 2y = 6 + -3y + 3y

Combine like terms: -3y + 3y = 0
22 + 2y = 6 + 0
22 + 2y = 6

Add '-22' to each side of the equation.
22 + -22 + 2y = 6 + -22

Combine like terms: 22 + -22 = 0
0 + 2y = 6 + -22
2y = 6 + -22

Combine like terms: 6 + -22 = -16
2y = -16

Divide each side by '2'.
y = -8

Simplifying
y = -8