-3(6y-3)-y=-4(y-5)

Solution for -3(6y-3)-y=-4(y-5) equation:

Simplifying
-3(6y + -3) + -1y = -4(y + -5)

Reorder the terms:
-3(-3 + 6y) + -1y = -4(y + -5)
(-3 * -3 + 6y * -3) + -1y = -4(y + -5)
(9 + -18y) + -1y = -4(y + -5)

Combine like terms: -18y + -1y = -19y
9 + -19y = -4(y + -5)

Reorder the terms:
9 + -19y = -4(-5 + y)
9 + -19y = (-5 * -4 + y * -4)
9 + -19y = (20 + -4y)

Solving
9 + -19y = 20 + -4y

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add '4y' to each side of the equation.
9 + -19y + 4y = 20 + -4y + 4y

Combine like terms: -19y + 4y = -15y
9 + -15y = 20 + -4y + 4y

Combine like terms: -4y + 4y = 0
9 + -15y = 20 + 0
9 + -15y = 20

Add '-9' to each side of the equation.
9 + -9 + -15y = 20 + -9

Combine like terms: 9 + -9 = 0
0 + -15y = 20 + -9
-15y = 20 + -9

Combine like terms: 20 + -9 = 11
-15y = 11

Divide each side by '-15'.
y = -0.7333333333

Simplifying
y = -0.7333333333