2(3y+7)-4(5-2y)=6

Solution for 2(3y+7)-4(5-2y)=6 equation:

Simplifying
2(3y + 7) + -4(5 + -2y) = 6

Reorder the terms:
2(7 + 3y) + -4(5 + -2y) = 6
(7 * 2 + 3y * 2) + -4(5 + -2y) = 6
(14 + 6y) + -4(5 + -2y) = 6
14 + 6y + (5 * -4 + -2y * -4) = 6
14 + 6y + (-20 + 8y) = 6

Reorder the terms:
14 + -20 + 6y + 8y = 6

Combine like terms: 14 + -20 = -6
-6 + 6y + 8y = 6

Combine like terms: 6y + 8y = 14y
-6 + 14y = 6

Solving
-6 + 14y = 6

Solving for variable 'y'.

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

Add '6' to each side of the equation.
-6 + 6 + 14y = 6 + 6

Combine like terms: -6 + 6 = 0
0 + 14y = 6 + 6
14y = 6 + 6

Combine like terms: 6 + 6 = 12
14y = 12

Divide each side by '14'.
y = 0.8571428571

Simplifying
y = 0.8571428571