Y=600+.5y-0.5(100+.3y)-180+250+.1y+500+300-300-.2y

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Solution for Y=600+.5y-0.5(100+.3y)-180+250+.1y+500+300-300-.2y equation:


Simplifying
Y = 600 + 0.5y + -0.5(100 + 0.3y) + -180 + 250 + 0.1y + 500 + 300 + -300 + -0.2y
Y = 600 + 0.5y + (100 * -0.5 + 0.3y * -0.5) + -180 + 250 + 0.1y + 500 + 300 + -300 + -0.2y
Y = 600 + 0.5y + (-50 + -0.15y) + -180 + 250 + 0.1y + 500 + 300 + -300 + -0.2y

Reorder the terms:
Y = 600 + -50 + -180 + 250 + 500 + 300 + -300 + 0.5y + -0.15y + 0.1y + -0.2y

Combine like terms: 600 + -50 = 550
Y = 550 + -180 + 250 + 500 + 300 + -300 + 0.5y + -0.15y + 0.1y + -0.2y

Combine like terms: 550 + -180 = 370
Y = 370 + 250 + 500 + 300 + -300 + 0.5y + -0.15y + 0.1y + -0.2y

Combine like terms: 370 + 250 = 620
Y = 620 + 500 + 300 + -300 + 0.5y + -0.15y + 0.1y + -0.2y

Combine like terms: 620 + 500 = 1120
Y = 1120 + 300 + -300 + 0.5y + -0.15y + 0.1y + -0.2y

Combine like terms: 1120 + 300 = 1420
Y = 1420 + -300 + 0.5y + -0.15y + 0.1y + -0.2y

Combine like terms: 1420 + -300 = 1120
Y = 1120 + 0.5y + -0.15y + 0.1y + -0.2y

Combine like terms: 0.5y + -0.15y = 0.35y
Y = 1120 + 0.35y + 0.1y + -0.2y

Combine like terms: 0.35y + 0.1y = 0.45y
Y = 1120 + 0.45y + -0.2y

Combine like terms: 0.45y + -0.2y = 0.25y
Y = 1120 + 0.25y

Solving
Y = 1120 + 0.25y

Solving for variable 'Y'.

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

Simplifying
Y = 1120 + 0.25y

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