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

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

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

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

Combine like terms: 6 + -4 = 2
2 + 6y = 4(1 + y)
2 + 6y = (1 * 4 + y * 4)
2 + 6y = (4 + 4y)

Solving
2 + 6y = 4 + 4y

Solving for variable 'y'.

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

Add '-4y' to each side of the equation.
2 + 6y + -4y = 4 + 4y + -4y

Combine like terms: 6y + -4y = 2y
2 + 2y = 4 + 4y + -4y

Combine like terms: 4y + -4y = 0
2 + 2y = 4 + 0
2 + 2y = 4

Add '-2' to each side of the equation.
2 + -2 + 2y = 4 + -2

Combine like terms: 2 + -2 = 0
0 + 2y = 4 + -2
2y = 4 + -2

Combine like terms: 4 + -2 = 2
2y = 2

Divide each side by '2'.
y = 1

Simplifying
y = 1