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

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

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

Reorder the terms:
3 + 2(-1 + 7y) = 3(-3y + 2) + 1
3 + (-1 * 2 + 7y * 2) = 3(-3y + 2) + 1
3 + (-2 + 14y) = 3(-3y + 2) + 1

Combine like terms: 3 + -2 = 1
1 + 14y = 3(-3y + 2) + 1

Reorder the terms:
1 + 14y = 3(2 + -3y) + 1
1 + 14y = (2 * 3 + -3y * 3) + 1
1 + 14y = (6 + -9y) + 1

Reorder the terms:
1 + 14y = 6 + 1 + -9y

Combine like terms: 6 + 1 = 7
1 + 14y = 7 + -9y

Solving
1 + 14y = 7 + -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.
1 + 14y + 9y = 7 + -9y + 9y

Combine like terms: 14y + 9y = 23y
1 + 23y = 7 + -9y + 9y

Combine like terms: -9y + 9y = 0
1 + 23y = 7 + 0
1 + 23y = 7

Add '-1' to each side of the equation.
1 + -1 + 23y = 7 + -1

Combine like terms: 1 + -1 = 0
0 + 23y = 7 + -1
23y = 7 + -1

Combine like terms: 7 + -1 = 6
23y = 6

Divide each side by '23'.
y = 0.2608695652

Simplifying
y = 0.2608695652