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

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

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

Reorder the terms:
-3(-2 + 5y) + -1y = 3(y + -4)
(-2 * -3 + 5y * -3) + -1y = 3(y + -4)
(6 + -15y) + -1y = 3(y + -4)

Combine like terms: -15y + -1y = -16y
6 + -16y = 3(y + -4)

Reorder the terms:
6 + -16y = 3(-4 + y)
6 + -16y = (-4 * 3 + y * 3)
6 + -16y = (-12 + 3y)

Solving
6 + -16y = -12 + 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 + -16y + -3y = -12 + 3y + -3y

Combine like terms: -16y + -3y = -19y
6 + -19y = -12 + 3y + -3y

Combine like terms: 3y + -3y = 0
6 + -19y = -12 + 0
6 + -19y = -12

Add '-6' to each side of the equation.
6 + -6 + -19y = -12 + -6

Combine like terms: 6 + -6 = 0
0 + -19y = -12 + -6
-19y = -12 + -6

Combine like terms: -12 + -6 = -18
-19y = -18

Divide each side by '-19'.
y = 0.9473684211

Simplifying
y = 0.9473684211