2y+6=28(y-2)

Solution for 2y+6=28(y-2) equation:

Simplifying
2y + 6 = 28(y + -2)

Reorder the terms:
6 + 2y = 28(y + -2)

Reorder the terms:
6 + 2y = 28(-2 + y)
6 + 2y = (-2 * 28 + y * 28)
6 + 2y = (-56 + 28y)

Solving
6 + 2y = -56 + 28y

Solving for variable 'y'.

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

Add '-28y' to each side of the equation.
6 + 2y + -28y = -56 + 28y + -28y

Combine like terms: 2y + -28y = -26y
6 + -26y = -56 + 28y + -28y

Combine like terms: 28y + -28y = 0
6 + -26y = -56 + 0
6 + -26y = -56

Add '-6' to each side of the equation.
6 + -6 + -26y = -56 + -6

Combine like terms: 6 + -6 = 0
0 + -26y = -56 + -6
-26y = -56 + -6

Combine like terms: -56 + -6 = -62
-26y = -62

Divide each side by '-26'.
y = 2.384615385

Simplifying
y = 2.384615385