50(15y)=((30-y)2.14)160

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Solution for 50(15y)=((30-y)2.14)160 equation:


Simplifying
50(15y) = ((30 + -1y) * 2.14) * 160

Remove parenthesis around (15y)
50 * 15y = ((30 + -1y) * 2.14) * 160

Multiply 50 * 15
750y = ((30 + -1y) * 2.14) * 160

Reorder the terms for easier multiplication:
750y = (2.14(30 + -1y)) * 160
750y = ((30 * 2.14 + -1y * 2.14)) * 160
750y = ((64.2 + -2.14y)) * 160

Reorder the terms for easier multiplication:
750y = 160(64.2 + -2.14y)
750y = (64.2 * 160 + -2.14y * 160)
750y = (10272 + -342.4y)

Solving
750y = 10272 + -342.4y

Solving for variable 'y'.

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

Add '342.4y' to each side of the equation.
750y + 342.4y = 10272 + -342.4y + 342.4y

Combine like terms: 750y + 342.4y = 1092.4y
1092.4y = 10272 + -342.4y + 342.4y

Combine like terms: -342.4y + 342.4y = 0.0
1092.4y = 10272 + 0.0
1092.4y = 10272

Divide each side by '1092.4'.
y = 9.40314903

Simplifying
y = 9.40314903

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