700+0.5(Y-0.2Y)+400+400+(500-0.2Y)=

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Solution for 700+0.5(Y-0.2Y)+400+400+(500-0.2Y)= equation:


Simplifying
700 + 0.5(Y + -0.2Y) + 400 + 400 + (500 + -0.2Y) = 0

Combine like terms: Y + -0.2Y = 0.8Y
700 + 0.5(0.8Y) + 400 + 400 + (500 + -0.2Y) = 0

Remove parenthesis around (0.8Y)
700 + 0.5 * 0.8Y + 400 + 400 + (500 + -0.2Y) = 0

Multiply 0.5 * 0.8
700 + 0.4Y + 400 + 400 + (500 + -0.2Y) = 0

Remove parenthesis around (500 + -0.2Y)
700 + 0.4Y + 400 + 400 + 500 + -0.2Y = 0

Reorder the terms:
700 + 400 + 400 + 500 + 0.4Y + -0.2Y = 0

Combine like terms: 700 + 400 = 1100
1100 + 400 + 500 + 0.4Y + -0.2Y = 0

Combine like terms: 1100 + 400 = 1500
1500 + 500 + 0.4Y + -0.2Y = 0

Combine like terms: 1500 + 500 = 2000
2000 + 0.4Y + -0.2Y = 0

Combine like terms: 0.4Y + -0.2Y = 0.2Y
2000 + 0.2Y = 0

Solving
2000 + 0.2Y = 0

Solving for variable 'Y'.

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

Add '-2000' to each side of the equation.
2000 + -2000 + 0.2Y = 0 + -2000

Combine like terms: 2000 + -2000 = 0
0 + 0.2Y = 0 + -2000
0.2Y = 0 + -2000

Combine like terms: 0 + -2000 = -2000
0.2Y = -2000

Divide each side by '0.2'.
Y = -10000

Simplifying
Y = -10000

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