To write a linear equation in standard form, move each variable term to the left side of the equation and simplify. Ax +By = C
Since x is on the right side of the equation, switch the sides so it is on the left side of the equation. 3/4 * (x+8) = y-4
Move all terms containing variables to the left side of the equation
3x/4 +6 = y-4
Move the y to the left side of the equation
3x/4+6-y=-4
Move all terms not containing a varbile to the right side
Move the 6 to the right side
3x/4-y=-6-4
Subtract 4 from -6
3x/4-y=-10
Find the LCD of A,B,C and you get 4
Then you * 4 by everything
3x/4*4-y*4=-10*4
Simplify each term
3x-4y=-10*4
Multiply -10 by 4
3x-4y=-40