15Y-(3-(4Y+4Y)57)=24Y

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Solution for 15Y-(3-(4Y+4Y)57)=24Y equation:


Simplifying
15Y + -1(3 + -1(4Y + 4Y) * 57) = 24Y

Combine like terms: 4Y + 4Y = 8Y
15Y + -1(3 + -1(8Y) * 57) = 24Y

Remove parenthesis around (8Y)
15Y + -1(3 + -1 * 8Y * 57) = 24Y

Reorder the terms for easier multiplication:
15Y + -1(3 + -1 * 8 * 57Y) = 24Y

Multiply -1 * 8
15Y + -1(3 + -8 * 57Y) = 24Y

Multiply -8 * 57
15Y + -1(3 + -456Y) = 24Y
15Y + (3 * -1 + -456Y * -1) = 24Y
15Y + (-3 + 456Y) = 24Y

Reorder the terms:
-3 + 15Y + 456Y = 24Y

Combine like terms: 15Y + 456Y = 471Y
-3 + 471Y = 24Y

Solving
-3 + 471Y = 24Y

Solving for variable 'Y'.

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

Add '-24Y' to each side of the equation.
-3 + 471Y + -24Y = 24Y + -24Y

Combine like terms: 471Y + -24Y = 447Y
-3 + 447Y = 24Y + -24Y

Combine like terms: 24Y + -24Y = 0
-3 + 447Y = 0

Add '3' to each side of the equation.
-3 + 3 + 447Y = 0 + 3

Combine like terms: -3 + 3 = 0
0 + 447Y = 0 + 3
447Y = 0 + 3

Combine like terms: 0 + 3 = 3
447Y = 3

Divide each side by '447'.
Y = 0.006711409396

Simplifying
Y = 0.006711409396

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