-3y-1(8y-6)=-1-3(3-y)

Solution for -3y-1(8y-6)=-1-3(3-y) equation:

Simplifying
-3y + -1(8y + -6) = -1 + -3(3 + -1y)

Reorder the terms:
-3y + -1(-6 + 8y) = -1 + -3(3 + -1y)
-3y + (-6 * -1 + 8y * -1) = -1 + -3(3 + -1y)
-3y + (6 + -8y) = -1 + -3(3 + -1y)

Reorder the terms:
6 + -3y + -8y = -1 + -3(3 + -1y)

Combine like terms: -3y + -8y = -11y
6 + -11y = -1 + -3(3 + -1y)
6 + -11y = -1 + (3 * -3 + -1y * -3)
6 + -11y = -1 + (-9 + 3y)

Combine like terms: -1 + -9 = -10
6 + -11y = -10 + 3y

Solving
6 + -11y = -10 + 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 + -11y + -3y = -10 + 3y + -3y

Combine like terms: -11y + -3y = -14y
6 + -14y = -10 + 3y + -3y

Combine like terms: 3y + -3y = 0
6 + -14y = -10 + 0
6 + -14y = -10

Add '-6' to each side of the equation.
6 + -6 + -14y = -10 + -6

Combine like terms: 6 + -6 = 0
0 + -14y = -10 + -6
-14y = -10 + -6

Combine like terms: -10 + -6 = -16
-14y = -16

Divide each side by '-14'.
y = 1.142857143

Simplifying
y = 1.142857143