6(2-3y)-42=2(y+1)

Solution for 6(2-3y)-42=2(y+1) equation:

Simplifying
6(2 + -3y) + -42 = 2(y + 1)
(2 * 6 + -3y * 6) + -42 = 2(y + 1)
(12 + -18y) + -42 = 2(y + 1)

Reorder the terms:
12 + -42 + -18y = 2(y + 1)

Combine like terms: 12 + -42 = -30
-30 + -18y = 2(y + 1)

Reorder the terms:
-30 + -18y = 2(1 + y)
-30 + -18y = (1 * 2 + y * 2)
-30 + -18y = (2 + 2y)

Solving
-30 + -18y = 2 + 2y

Solving for variable 'y'.

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

Add '-2y' to each side of the equation.
-30 + -18y + -2y = 2 + 2y + -2y

Combine like terms: -18y + -2y = -20y
-30 + -20y = 2 + 2y + -2y

Combine like terms: 2y + -2y = 0
-30 + -20y = 2 + 0
-30 + -20y = 2

Add '30' to each side of the equation.
-30 + 30 + -20y = 2 + 30

Combine like terms: -30 + 30 = 0
0 + -20y = 2 + 30
-20y = 2 + 30

Combine like terms: 2 + 30 = 32
-20y = 32

Divide each side by '-20'.
y = -1.6

Simplifying
y = -1.6