.18Y+.05(Y+4000)=1580

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Solution for .18Y+.05(Y+4000)=1580 equation:


Simplifying
0.18Y + 0.05(Y + 4000) = 1580

Reorder the terms:
0.18Y + 0.05(4000 + Y) = 1580
0.18Y + (4000 * 0.05 + Y * 0.05) = 1580
0.18Y + (200 + 0.05Y) = 1580

Reorder the terms:
200 + 0.18Y + 0.05Y = 1580

Combine like terms: 0.18Y + 0.05Y = 0.23Y
200 + 0.23Y = 1580

Solving
200 + 0.23Y = 1580

Solving for variable 'Y'.

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

Add '-200' to each side of the equation.
200 + -200 + 0.23Y = 1580 + -200

Combine like terms: 200 + -200 = 0
0 + 0.23Y = 1580 + -200
0.23Y = 1580 + -200

Combine like terms: 1580 + -200 = 1380
0.23Y = 1380

Divide each side by '0.23'.
Y = 6000

Simplifying
Y = 6000

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