-7(y-9)-3(3y+1)=-4

Solution for -7(y-9)-3(3y+1)=-4 equation:

Simplifying
-7(y + -9) + -3(3y + 1) = -4

Reorder the terms:
-7(-9 + y) + -3(3y + 1) = -4
(-9 * -7 + y * -7) + -3(3y + 1) = -4
(63 + -7y) + -3(3y + 1) = -4

Reorder the terms:
63 + -7y + -3(1 + 3y) = -4
63 + -7y + (1 * -3 + 3y * -3) = -4
63 + -7y + (-3 + -9y) = -4

Reorder the terms:
63 + -3 + -7y + -9y = -4

Combine like terms: 63 + -3 = 60
60 + -7y + -9y = -4

Combine like terms: -7y + -9y = -16y
60 + -16y = -4

Solving
60 + -16y = -4

Solving for variable 'y'.

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

Add '-60' to each side of the equation.
60 + -60 + -16y = -4 + -60

Combine like terms: 60 + -60 = 0
0 + -16y = -4 + -60
-16y = -4 + -60

Combine like terms: -4 + -60 = -64
-16y = -64

Divide each side by '-16'.
y = 4

Simplifying
y = 4