1.52Y=3.14(Y-8.62)

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Solution for 1.52Y=3.14(Y-8.62) equation: 


Simplifying
1.52Y = 3.14(Y + -8.62)

Reorder the terms:
1.52Y = 3.14(-8.62 + Y)
1.52Y = (-8.62 * 3.14 + Y * 3.14)
1.52Y = (-27.0668 + 3.14Y)

Solving
1.52Y = -27.0668 + 3.14Y

Solving for variable 'Y'.

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

Add '-3.14Y' to each side of the equation.
1.52Y + -3.14Y = -27.0668 + 3.14Y + -3.14Y

Combine like terms: 1.52Y + -3.14Y = -1.62Y
-1.62Y = -27.0668 + 3.14Y + -3.14Y

Combine like terms: 3.14Y + -3.14Y = 0.00
-1.62Y = -27.0668 + 0.00
-1.62Y = -27.0668

Divide each side by '-1.62'.
Y = 16.70790123

Simplifying
Y = 16.70790123

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