3(1+3y)+6(2y-9)=1

Solution for 3(1+3y)+6(2y-9)=1 equation:

Simplifying
3(1 + 3y) + 6(2y + -9) = 1
(1 * 3 + 3y * 3) + 6(2y + -9) = 1
(3 + 9y) + 6(2y + -9) = 1

Reorder the terms:
3 + 9y + 6(-9 + 2y) = 1
3 + 9y + (-9 * 6 + 2y * 6) = 1
3 + 9y + (-54 + 12y) = 1

Reorder the terms:
3 + -54 + 9y + 12y = 1

Combine like terms: 3 + -54 = -51
-51 + 9y + 12y = 1

Combine like terms: 9y + 12y = 21y
-51 + 21y = 1

Solving
-51 + 21y = 1

Solving for variable 'y'.

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

Add '51' to each side of the equation.
-51 + 51 + 21y = 1 + 51

Combine like terms: -51 + 51 = 0
0 + 21y = 1 + 51
21y = 1 + 51

Combine like terms: 1 + 51 = 52
21y = 52

Divide each side by '21'.
y = 2.476190476

Simplifying
y = 2.476190476