.5(2X)+2(2Y)-.4P=2X+2Y-P

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Solution for .5(2X)+2(2Y)-.4P=2X+2Y-P equation: 


Simplifying
0.5(2X) + 2(2Y) + -0.4P = 2X + 2Y + -1P

Remove parenthesis around (2X)
0.5 * 2X + 2(2Y) + -0.4P = 2X + 2Y + -1P

Multiply 0.5 * 2
1X + 2(2Y) + -0.4P = 2X + 2Y + -1P

Remove parenthesis around (2Y)
1X + 2 * 2Y + -0.4P = 2X + 2Y + -1P

Multiply 2 * 2
1X + 4Y + -0.4P = 2X + 2Y + -1P

Reorder the terms:
-0.4P + 1X + 4Y = 2X + 2Y + -1P

Reorder the terms:
-0.4P + 1X + 4Y = -1P + 2X + 2Y

Solving
-0.4P + 1X + 4Y = -1P + 2X + 2Y

Solving for variable 'P'.

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

Add 'P' to each side of the equation.
-0.4P + 1X + P + 4Y = -1P + 2X + P + 2Y

Reorder the terms:
-0.4P + P + 1X + 4Y = -1P + 2X + P + 2Y

Combine like terms: -0.4P + P = 0.6P
0.6P + 1X + 4Y = -1P + 2X + P + 2Y

Reorder the terms:
0.6P + 1X + 4Y = -1P + P + 2X + 2Y

Combine like terms: -1P + P = 0
0.6P + 1X + 4Y = 0 + 2X + 2Y
0.6P + 1X + 4Y = 2X + 2Y

Add '-1X' to each side of the equation.
0.6P + 1X + -1X + 4Y = 2X + -1X + 2Y

Combine like terms: 1X + -1X = 0
0.6P + 0 + 4Y = 2X + -1X + 2Y
0.6P + 4Y = 2X + -1X + 2Y

Combine like terms: 2X + -1X = 1X
0.6P + 4Y = 1X + 2Y

Add '-4Y' to each side of the equation.
0.6P + 4Y + -4Y = 1X + 2Y + -4Y

Combine like terms: 4Y + -4Y = 0
0.6P + 0 = 1X + 2Y + -4Y
0.6P = 1X + 2Y + -4Y

Combine like terms: 2Y + -4Y = -2Y
0.6P = 1X + -2Y

Divide each side by '0.6'.
P = 1.666666667X + -3.333333333Y

Simplifying
P = 1.666666667X + -3.333333333Y

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