2(1y+3)=9y-(2+4)

Solution for 2(1y+3)=9y-(2+4) equation:

Simplifying
2(1y + 3) = 9y + -1(2 + 4)

Reorder the terms:
2(3 + 1y) = 9y + -1(2 + 4)
(3 * 2 + 1y * 2) = 9y + -1(2 + 4)
(6 + 2y) = 9y + -1(2 + 4)

Combine like terms: 2 + 4 = 6
6 + 2y = 9y + -1(6)

Multiply -1 * 6
6 + 2y = 9y + -6

Reorder the terms:
6 + 2y = -6 + 9y

Solving
6 + 2y = -6 + 9y

Solving for variable 'y'.

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

Add '-9y' to each side of the equation.
6 + 2y + -9y = -6 + 9y + -9y

Combine like terms: 2y + -9y = -7y
6 + -7y = -6 + 9y + -9y

Combine like terms: 9y + -9y = 0
6 + -7y = -6 + 0
6 + -7y = -6

Add '-6' to each side of the equation.
6 + -6 + -7y = -6 + -6

Combine like terms: 6 + -6 = 0
0 + -7y = -6 + -6
-7y = -6 + -6

Combine like terms: -6 + -6 = -12
-7y = -12

Divide each side by '-7'.
y = 1.714285714

Simplifying
y = 1.714285714