3(4y-2)=6+2(5y+1)

Solution for 3(4y-2)=6+2(5y+1) equation:

Simplifying
3(4y + -2) = 6 + 2(5y + 1)

Reorder the terms:
3(-2 + 4y) = 6 + 2(5y + 1)
(-2 * 3 + 4y * 3) = 6 + 2(5y + 1)
(-6 + 12y) = 6 + 2(5y + 1)

Reorder the terms:
-6 + 12y = 6 + 2(1 + 5y)
-6 + 12y = 6 + (1 * 2 + 5y * 2)
-6 + 12y = 6 + (2 + 10y)

Combine like terms: 6 + 2 = 8
-6 + 12y = 8 + 10y

Solving
-6 + 12y = 8 + 10y

Solving for variable 'y'.

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

Add '-10y' to each side of the equation.
-6 + 12y + -10y = 8 + 10y + -10y

Combine like terms: 12y + -10y = 2y
-6 + 2y = 8 + 10y + -10y

Combine like terms: 10y + -10y = 0
-6 + 2y = 8 + 0
-6 + 2y = 8

Add '6' to each side of the equation.
-6 + 6 + 2y = 8 + 6

Combine like terms: -6 + 6 = 0
0 + 2y = 8 + 6
2y = 8 + 6

Combine like terms: 8 + 6 = 14
2y = 14

Divide each side by '2'.
y = 7

Simplifying
y = 7