-3Y-6(-4Y-14)=-42

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Solution for -3Y-6(-4Y-14)=-42 equation:


Simplifying
-3Y + -6(-4Y + -14) = -42

Reorder the terms:
-3Y + -6(-14 + -4Y) = -42
-3Y + (-14 * -6 + -4Y * -6) = -42
-3Y + (84 + 24Y) = -42

Reorder the terms:
84 + -3Y + 24Y = -42

Combine like terms: -3Y + 24Y = 21Y
84 + 21Y = -42

Solving
84 + 21Y = -42

Solving for variable 'Y'.

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

Add '-84' to each side of the equation.
84 + -84 + 21Y = -42 + -84

Combine like terms: 84 + -84 = 0
0 + 21Y = -42 + -84
21Y = -42 + -84

Combine like terms: -42 + -84 = -126
21Y = -126

Divide each side by '21'.
Y = -6

Simplifying
Y = -6

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