2(y+10.6)=8y-4.6

Solution for 2(y+10.6)=8y-4.6 equation:

Simplifying
2(y + 10.6) = 8y + -4.6

Reorder the terms:
2(10.6 + y) = 8y + -4.6
(10.6 * 2 + y * 2) = 8y + -4.6
(21.2 + 2y) = 8y + -4.6

Reorder the terms:
21.2 + 2y = -4.6 + 8y

Solving
21.2 + 2y = -4.6 + 8y

Solving for variable 'y'.

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

Add '-8y' to each side of the equation.
21.2 + 2y + -8y = -4.6 + 8y + -8y

Combine like terms: 2y + -8y = -6y
21.2 + -6y = -4.6 + 8y + -8y

Combine like terms: 8y + -8y = 0
21.2 + -6y = -4.6 + 0
21.2 + -6y = -4.6

Add '-21.2' to each side of the equation.
21.2 + -21.2 + -6y = -4.6 + -21.2

Combine like terms: 21.2 + -21.2 = 0.0
0.0 + -6y = -4.6 + -21.2
-6y = -4.6 + -21.2

Combine like terms: -4.6 + -21.2 = -25.8
-6y = -25.8

Divide each side by '-6'.
y = 4.3

Simplifying
y = 4.3