3(2y-4)+18=4(3y+1)+1

Solution for 3(2y-4)+18=4(3y+1)+1 equation:

Simplifying
3(2y + -4) + 18 = 4(3y + 1) + 1

Reorder the terms:
3(-4 + 2y) + 18 = 4(3y + 1) + 1
(-4 * 3 + 2y * 3) + 18 = 4(3y + 1) + 1
(-12 + 6y) + 18 = 4(3y + 1) + 1

Reorder the terms:
-12 + 18 + 6y = 4(3y + 1) + 1

Combine like terms: -12 + 18 = 6
6 + 6y = 4(3y + 1) + 1

Reorder the terms:
6 + 6y = 4(1 + 3y) + 1
6 + 6y = (1 * 4 + 3y * 4) + 1
6 + 6y = (4 + 12y) + 1

Reorder the terms:
6 + 6y = 4 + 1 + 12y

Combine like terms: 4 + 1 = 5
6 + 6y = 5 + 12y

Solving
6 + 6y = 5 + 12y

Solving for variable 'y'.

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

Add '-12y' to each side of the equation.
6 + 6y + -12y = 5 + 12y + -12y

Combine like terms: 6y + -12y = -6y
6 + -6y = 5 + 12y + -12y

Combine like terms: 12y + -12y = 0
6 + -6y = 5 + 0
6 + -6y = 5

Add '-6' to each side of the equation.
6 + -6 + -6y = 5 + -6

Combine like terms: 6 + -6 = 0
0 + -6y = 5 + -6
-6y = 5 + -6

Combine like terms: 5 + -6 = -1
-6y = -1

Divide each side by '-6'.
y = 0.1666666667

Simplifying
y = 0.1666666667