-3(5y-2)-y=-2(y-2)

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

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

Reorder the terms:
-3(-2 + 5y) + -1y = -2(y + -2)
(-2 * -3 + 5y * -3) + -1y = -2(y + -2)
(6 + -15y) + -1y = -2(y + -2)

Combine like terms: -15y + -1y = -16y
6 + -16y = -2(y + -2)

Reorder the terms:
6 + -16y = -2(-2 + y)
6 + -16y = (-2 * -2 + y * -2)
6 + -16y = (4 + -2y)

Solving
6 + -16y = 4 + -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.
6 + -16y + 2y = 4 + -2y + 2y

Combine like terms: -16y + 2y = -14y
6 + -14y = 4 + -2y + 2y

Combine like terms: -2y + 2y = 0
6 + -14y = 4 + 0
6 + -14y = 4

Add '-6' to each side of the equation.
6 + -6 + -14y = 4 + -6

Combine like terms: 6 + -6 = 0
0 + -14y = 4 + -6
-14y = 4 + -6

Combine like terms: 4 + -6 = -2
-14y = -2

Divide each side by '-14'.
y = 0.1428571429

Simplifying
y = 0.1428571429