3(1-2y)=3-(7y+9)

Solution for 3(1-2y)=3-(7y+9) equation:

Simplifying
3(1 + -2y) = 3 + -1(7y + 9)
(1 * 3 + -2y * 3) = 3 + -1(7y + 9)
(3 + -6y) = 3 + -1(7y + 9)

Reorder the terms:
3 + -6y = 3 + -1(9 + 7y)
3 + -6y = 3 + (9 * -1 + 7y * -1)
3 + -6y = 3 + (-9 + -7y)

Combine like terms: 3 + -9 = -6
3 + -6y = -6 + -7y

Solving
3 + -6y = -6 + -7y

Solving for variable 'y'.

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

Add '7y' to each side of the equation.
3 + -6y + 7y = -6 + -7y + 7y

Combine like terms: -6y + 7y = 1y
3 + 1y = -6 + -7y + 7y

Combine like terms: -7y + 7y = 0
3 + 1y = -6 + 0
3 + 1y = -6

Add '-3' to each side of the equation.
3 + -3 + 1y = -6 + -3

Combine like terms: 3 + -3 = 0
0 + 1y = -6 + -3
1y = -6 + -3

Combine like terms: -6 + -3 = -9
1y = -9

Divide each side by '1'.
y = -9

Simplifying
y = -9