116=-4(-4y)-9(2y)+y

Solution for 116=-4(-4y)-9(2y)+y equation:

Simplifying
116 = -4(-4y) + -9(2y) + y

Remove parenthesis around (-4y)
116 = -4 * -4y + -9(2y) + y

Multiply -4 * -4
116 = 16y + -9(2y) + y

Remove parenthesis around (2y)
116 = 16y + -9 * 2y + y

Multiply -9 * 2
116 = 16y + -18y + y

Combine like terms: 16y + -18y = -2y
116 = -2y + y

Combine like terms: -2y + y = -1y
116 = -1y

Solving
116 = -1y

Solving for variable 'y'.

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

Add 'y' to each side of the equation.
116 + y = -1y + y

Combine like terms: -1y + y = 0
116 + y = 0

Add '-116' to each side of the equation.
116 + -116 + y = 0 + -116

Combine like terms: 116 + -116 = 0
0 + y = 0 + -116
y = 0 + -116

Combine like terms: 0 + -116 = -116
y = -116

Simplifying
y = -116