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

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

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

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

Solving
2 + 2y = 6 + -6y

Solving for variable 'y'.

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

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

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

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

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

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

Combine like terms: 6 + -2 = 4
8y = 4

Divide each side by '8'.
y = 0.5

Simplifying
y = 0.5