84(20y)=((60-y)2.12)101

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Solution for 84(20y)=((60-y)2.12)101 equation:


Simplifying
84(20y) = ((60 + -1y) * 2.12) * 101

Remove parenthesis around (20y)
84 * 20y = ((60 + -1y) * 2.12) * 101

Multiply 84 * 20
1680y = ((60 + -1y) * 2.12) * 101

Reorder the terms for easier multiplication:
1680y = (2.12(60 + -1y)) * 101
1680y = ((60 * 2.12 + -1y * 2.12)) * 101
1680y = ((127.2 + -2.12y)) * 101

Reorder the terms for easier multiplication:
1680y = 101(127.2 + -2.12y)
1680y = (127.2 * 101 + -2.12y * 101)
1680y = (12847.2 + -214.12y)

Solving
1680y = 12847.2 + -214.12y

Solving for variable 'y'.

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

Add '214.12y' to each side of the equation.
1680y + 214.12y = 12847.2 + -214.12y + 214.12y

Combine like terms: 1680y + 214.12y = 1894.12y
1894.12y = 12847.2 + -214.12y + 214.12y

Combine like terms: -214.12y + 214.12y = 0.00
1894.12y = 12847.2 + 0.00
1894.12y = 12847.2

Divide each side by '1894.12'.
y = 6.782674804

Simplifying
y = 6.782674804

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