(7m+6y)+3=7m(6y+3)

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Solution for (7m+6y)+3=7m(6y+3) equation:


Simplifying
(7m + 6y) + 3 = 7m(6y + 3)

Remove parenthesis around (7m + 6y)
7m + 6y + 3 = 7m(6y + 3)

Reorder the terms:
3 + 7m + 6y = 7m(6y + 3)

Reorder the terms:
3 + 7m + 6y = 7m(3 + 6y)
3 + 7m + 6y = (3 * 7m + 6y * 7m)
3 + 7m + 6y = (21m + 42my)

Solving
3 + 7m + 6y = 21m + 42my

Solving for variable 'm'.

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

Add '-21m' to each side of the equation.
3 + 7m + -21m + 6y = 21m + -21m + 42my

Combine like terms: 7m + -21m = -14m
3 + -14m + 6y = 21m + -21m + 42my

Combine like terms: 21m + -21m = 0
3 + -14m + 6y = 0 + 42my
3 + -14m + 6y = 42my

Add '-42my' to each side of the equation.
3 + -14m + -42my + 6y = 42my + -42my

Combine like terms: 42my + -42my = 0
3 + -14m + -42my + 6y = 0

Add '-3' to each side of the equation.
3 + -14m + -42my + -3 + 6y = 0 + -3

Reorder the terms:
3 + -3 + -14m + -42my + 6y = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -14m + -42my + 6y = 0 + -3
-14m + -42my + 6y = 0 + -3

Combine like terms: 0 + -3 = -3
-14m + -42my + 6y = -3

Add '-6y' to each side of the equation.
-14m + -42my + 6y + -6y = -3 + -6y

Combine like terms: 6y + -6y = 0
-14m + -42my + 0 = -3 + -6y
-14m + -42my = -3 + -6y

Reorder the terms:
3 + -14m + -42my + 6y = -3 + -6y + 3 + 6y

Reorder the terms:
3 + -14m + -42my + 6y = -3 + 3 + -6y + 6y

Combine like terms: -3 + 3 = 0
3 + -14m + -42my + 6y = 0 + -6y + 6y
3 + -14m + -42my + 6y = -6y + 6y

Combine like terms: -6y + 6y = 0
3 + -14m + -42my + 6y = 0

The solution to this equation could not be determined.

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