83-113=-4(-6y)-13(2y)+y

Solution for 83-113=-4(-6y)-13(2y)+y equation:

Simplifying
83 + -113 = -4(-6y) + -13(2y) + y

Combine like terms: 83 + -113 = -30
-30 = -4(-6y) + -13(2y) + y

Remove parenthesis around (-6y)
-30 = -4 * -6y + -13(2y) + y

Multiply -4 * -6
-30 = 24y + -13(2y) + y

Remove parenthesis around (2y)
-30 = 24y + -13 * 2y + y

Multiply -13 * 2
-30 = 24y + -26y + y

Combine like terms: 24y + -26y = -2y
-30 = -2y + y

Combine like terms: -2y + y = -1y
-30 = -1y

Solving
-30 = -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.
-30 + y = -1y + y

Combine like terms: -1y + y = 0
-30 + y = 0

Add '30' to each side of the equation.
-30 + 30 + y = 0 + 30

Combine like terms: -30 + 30 = 0
0 + y = 0 + 30
y = 0 + 30

Combine like terms: 0 + 30 = 30
y = 30

Simplifying
y = 30