1+7y-3(1-2y)=2(3-4y)

Solution for 1+7y-3(1-2y)=2(3-4y) equation:

Simplifying
1 + 7y + -3(1 + -2y) = 2(3 + -4y)
1 + 7y + (1 * -3 + -2y * -3) = 2(3 + -4y)
1 + 7y + (-3 + 6y) = 2(3 + -4y)

Reorder the terms:
1 + -3 + 7y + 6y = 2(3 + -4y)

Combine like terms: 1 + -3 = -2
-2 + 7y + 6y = 2(3 + -4y)

Combine like terms: 7y + 6y = 13y
-2 + 13y = 2(3 + -4y)
-2 + 13y = (3 * 2 + -4y * 2)
-2 + 13y = (6 + -8y)

Solving
-2 + 13y = 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.
-2 + 13y + 8y = 6 + -8y + 8y

Combine like terms: 13y + 8y = 21y
-2 + 21y = 6 + -8y + 8y

Combine like terms: -8y + 8y = 0
-2 + 21y = 6 + 0
-2 + 21y = 6

Add '2' to each side of the equation.
-2 + 2 + 21y = 6 + 2

Combine like terms: -2 + 2 = 0
0 + 21y = 6 + 2
21y = 6 + 2

Combine like terms: 6 + 2 = 8
21y = 8

Divide each side by '21'.
y = 0.380952381

Simplifying
y = 0.380952381