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

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

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

Reorder the terms:
(4 + m) + (3m + -2) * y = 2m + 1

Remove parenthesis around (4 + m)
4 + m + (3m + -2) * y = 2m + 1

Reorder the terms:
4 + m + (-2 + 3m) * y = 2m + 1

Reorder the terms for easier multiplication:
4 + m + y(-2 + 3m) = 2m + 1
4 + m + (-2 * y + 3m * y) = 2m + 1

Reorder the terms:
4 + m + (3my + -2y) = 2m + 1
4 + m + (3my + -2y) = 2m + 1

Reorder the terms:
4 + m + 3my + -2y = 1 + 2m

Solving
4 + m + 3my + -2y = 1 + 2m

Solving for variable 'm'.

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

Add '-2m' to each side of the equation.
4 + m + 3my + -2m + -2y = 1 + 2m + -2m

Reorder the terms:
4 + m + -2m + 3my + -2y = 1 + 2m + -2m

Combine like terms: m + -2m = -1m
4 + -1m + 3my + -2y = 1 + 2m + -2m

Combine like terms: 2m + -2m = 0
4 + -1m + 3my + -2y = 1 + 0
4 + -1m + 3my + -2y = 1

Add '-4' to each side of the equation.
4 + -1m + 3my + -4 + -2y = 1 + -4

Reorder the terms:
4 + -4 + -1m + 3my + -2y = 1 + -4

Combine like terms: 4 + -4 = 0
0 + -1m + 3my + -2y = 1 + -4
-1m + 3my + -2y = 1 + -4

Combine like terms: 1 + -4 = -3
-1m + 3my + -2y = -3

Add '2y' to each side of the equation.
-1m + 3my + -2y + 2y = -3 + 2y

Combine like terms: -2y + 2y = 0
-1m + 3my + 0 = -3 + 2y
-1m + 3my = -3 + 2y

Reorder the terms:
3 + -1m + 3my + -2y = -3 + 2y + 3 + -2y

Reorder the terms:
3 + -1m + 3my + -2y = -3 + 3 + 2y + -2y

Combine like terms: -3 + 3 = 0
3 + -1m + 3my + -2y = 0 + 2y + -2y
3 + -1m + 3my + -2y = 2y + -2y

Combine like terms: 2y + -2y = 0
3 + -1m + 3my + -2y = 0

The solution to this equation could not be determined.