6(2y+1)=46-4(3y-2)

Solution for 6(2y+1)=46-4(3y-2) equation:

Simplifying
6(2y + 1) = 46 + -4(3y + -2)

Reorder the terms:
6(1 + 2y) = 46 + -4(3y + -2)
(1 * 6 + 2y * 6) = 46 + -4(3y + -2)
(6 + 12y) = 46 + -4(3y + -2)

Reorder the terms:
6 + 12y = 46 + -4(-2 + 3y)
6 + 12y = 46 + (-2 * -4 + 3y * -4)
6 + 12y = 46 + (8 + -12y)

Combine like terms: 46 + 8 = 54
6 + 12y = 54 + -12y

Solving
6 + 12y = 54 + -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 + 12y + 12y = 54 + -12y + 12y

Combine like terms: 12y + 12y = 24y
6 + 24y = 54 + -12y + 12y

Combine like terms: -12y + 12y = 0
6 + 24y = 54 + 0
6 + 24y = 54

Add '-6' to each side of the equation.
6 + -6 + 24y = 54 + -6

Combine like terms: 6 + -6 = 0
0 + 24y = 54 + -6
24y = 54 + -6

Combine like terms: 54 + -6 = 48
24y = 48

Divide each side by '24'.
y = 2

Simplifying
y = 2