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

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

Simplifying
3y + 2(-3 + 4y) = 4 + -6y
3y + (-3 * 2 + 4y * 2) = 4 + -6y
3y + (-6 + 8y) = 4 + -6y

Reorder the terms:
-6 + 3y + 8y = 4 + -6y

Combine like terms: 3y + 8y = 11y
-6 + 11y = 4 + -6y

Solving
-6 + 11y = 4 + -6y

Solving for variable 'y'.

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

Add '6y' to each side of the equation.
-6 + 11y + 6y = 4 + -6y + 6y

Combine like terms: 11y + 6y = 17y
-6 + 17y = 4 + -6y + 6y

Combine like terms: -6y + 6y = 0
-6 + 17y = 4 + 0
-6 + 17y = 4

Add '6' to each side of the equation.
-6 + 6 + 17y = 4 + 6

Combine like terms: -6 + 6 = 0
0 + 17y = 4 + 6
17y = 4 + 6

Combine like terms: 4 + 6 = 10
17y = 10

Divide each side by '17'.
y = 0.5882352941

Simplifying
y = 0.5882352941