1200=.56*(2142.9-.786y)+.44y

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Solution for 1200=.56*(2142.9-.786y)+.44y equation: 


Simplifying
1200 = 0.56(2142.9 + -0.786y) + 0.44y
1200 = (2142.9 * 0.56 + -0.786y * 0.56) + 0.44y
1200 = (1200.024 + -0.44016y) + 0.44y

Combine like terms: -0.44016y + 0.44y = -0.00016y
1200 = 1200.024 + -0.00016y

Solving
1200 = 1200.024 + -0.00016y

Solving for variable 'y'.

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

Add '0.00016y' to each side of the equation.
1200 + 0.00016y = 1200.024 + -0.00016y + 0.00016y

Combine like terms: -0.00016y + 0.00016y = 0.00000
1200 + 0.00016y = 1200.024 + 0.00000
1200 + 0.00016y = 1200.024

Add '-1200' to each side of the equation.
1200 + -1200 + 0.00016y = 1200.024 + -1200

Combine like terms: 1200 + -1200 = 0
0 + 0.00016y = 1200.024 + -1200
0.00016y = 1200.024 + -1200

Combine like terms: 1200.024 + -1200 = 0.024
0.00016y = 0.024

Divide each side by '0.00016'.
y = 150

Simplifying
y = 150

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