4y+6=6(2y+14)

Solution for 4y+6=6(2y+14) equation:

Simplifying
4y + 6 = 6(2y + 14)

Reorder the terms:
6 + 4y = 6(2y + 14)

Reorder the terms:
6 + 4y = 6(14 + 2y)
6 + 4y = (14 * 6 + 2y * 6)
6 + 4y = (84 + 12y)

Solving
6 + 4y = 84 + 12y

Solving for variable 'y'.

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

Add '-12y' to each side of the equation.
6 + 4y + -12y = 84 + 12y + -12y

Combine like terms: 4y + -12y = -8y
6 + -8y = 84 + 12y + -12y

Combine like terms: 12y + -12y = 0
6 + -8y = 84 + 0
6 + -8y = 84

Add '-6' to each side of the equation.
6 + -6 + -8y = 84 + -6

Combine like terms: 6 + -6 = 0
0 + -8y = 84 + -6
-8y = 84 + -6

Combine like terms: 84 + -6 = 78
-8y = 78

Divide each side by '-8'.
y = -9.75

Simplifying
y = -9.75