3(2y+1)-4(y-5)-13y=

Solution for 3(2y+1)-4(y-5)-13y= equation:

Simplifying
3(2y + 1) + -4(y + -5) + -13y = 0

Reorder the terms:
3(1 + 2y) + -4(y + -5) + -13y = 0
(1 * 3 + 2y * 3) + -4(y + -5) + -13y = 0
(3 + 6y) + -4(y + -5) + -13y = 0

Reorder the terms:
3 + 6y + -4(-5 + y) + -13y = 0
3 + 6y + (-5 * -4 + y * -4) + -13y = 0
3 + 6y + (20 + -4y) + -13y = 0

Reorder the terms:
3 + 20 + 6y + -4y + -13y = 0

Combine like terms: 3 + 20 = 23
23 + 6y + -4y + -13y = 0

Combine like terms: 6y + -4y = 2y
23 + 2y + -13y = 0

Combine like terms: 2y + -13y = -11y
23 + -11y = 0

Solving
23 + -11y = 0

Solving for variable 'y'.

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

Add '-23' to each side of the equation.
23 + -23 + -11y = 0 + -23

Combine like terms: 23 + -23 = 0
0 + -11y = 0 + -23
-11y = 0 + -23

Combine like terms: 0 + -23 = -23
-11y = -23

Divide each side by '-11'.
y = 2.090909091

Simplifying
y = 2.090909091