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Verified Answer :

Simplifying
6 = 4x + 9y

 
Solving
6 = 4x + 9y
  Move all terms containing x to the left, all other terms to the right.
  Add '-4x' to each side of the equation.
6 + -4x = 4x + -4x + 9y

 Combine like terms: 4x + -4x = 0
6 + -4x = 0 + 9y
6 + -4x = 9y
  Add '-6' to each side of the equation.
6 + -6 + -4x = -6 + 9y

 Combine like terms: 6 + -6 = 0
0 + -4x = -6 + 9y
-4x = -6 + 9y

 Divide each side by '-4'.
x = 1.5 + -2.25y
   x = 1.5 + -2.25y