3*(1+2y)=y+2*y+4*y

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

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

Combine like terms: y + 2y = 3y
3 + 6y = 3y + 4y

Combine like terms: 3y + 4y = 7y
3 + 6y = 7y

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

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

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

Add '-3' to each side of the equation.
3 + -3 + -1y = 0 + -3

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

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

Divide each side by '-1'.
y = 3

Simplifying
y = 3