40=194*(2-5y)-5*(90y-116)

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Solution for 40=194*(2-5y)-5*(90y-116) equation: 


Simplifying
40 = 194(2 + -5y) + -5(90y + -116)
40 = (2 * 194 + -5y * 194) + -5(90y + -116)
40 = (388 + -970y) + -5(90y + -116)

Reorder the terms:
40 = 388 + -970y + -5(-116 + 90y)
40 = 388 + -970y + (-116 * -5 + 90y * -5)
40 = 388 + -970y + (580 + -450y)

Reorder the terms:
40 = 388 + 580 + -970y + -450y

Combine like terms: 388 + 580 = 968
40 = 968 + -970y + -450y

Combine like terms: -970y + -450y = -1420y
40 = 968 + -1420y

Solving
40 = 968 + -1420y

Solving for variable 'y'.

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

Add '1420y' to each side of the equation.
40 + 1420y = 968 + -1420y + 1420y

Combine like terms: -1420y + 1420y = 0
40 + 1420y = 968 + 0
40 + 1420y = 968

Add '-40' to each side of the equation.
40 + -40 + 1420y = 968 + -40

Combine like terms: 40 + -40 = 0
0 + 1420y = 968 + -40
1420y = 968 + -40

Combine like terms: 968 + -40 = 928
1420y = 928

Divide each side by '1420'.
y = 0.6535211268

Simplifying
y = 0.6535211268

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