-6(6y+1)=-4(-6-9y)

Solution for -6(6y+1)=-4(-6-9y) equation:

Simplifying
-6(6y + 1) = -4(-6 + -9y)

Reorder the terms:
-6(1 + 6y) = -4(-6 + -9y)
(1 * -6 + 6y * -6) = -4(-6 + -9y)
(-6 + -36y) = -4(-6 + -9y)
-6 + -36y = (-6 * -4 + -9y * -4)
-6 + -36y = (24 + 36y)

Solving
-6 + -36y = 24 + 36y

Solving for variable 'y'.

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

Add '-36y' to each side of the equation.
-6 + -36y + -36y = 24 + 36y + -36y

Combine like terms: -36y + -36y = -72y
-6 + -72y = 24 + 36y + -36y

Combine like terms: 36y + -36y = 0
-6 + -72y = 24 + 0
-6 + -72y = 24

Add '6' to each side of the equation.
-6 + 6 + -72y = 24 + 6

Combine like terms: -6 + 6 = 0
0 + -72y = 24 + 6
-72y = 24 + 6

Combine like terms: 24 + 6 = 30
-72y = 30

Divide each side by '-72'.
y = -0.4166666667

Simplifying
y = -0.4166666667