-84+17Y+2=6(4Y-3)-8

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Solution for -84+17Y+2=6(4Y-3)-8 equation: 


Simplifying
-84 + 17Y + 2 = 6(4Y + -3) + -8

Reorder the terms:
-84 + 2 + 17Y = 6(4Y + -3) + -8

Combine like terms: -84 + 2 = -82
-82 + 17Y = 6(4Y + -3) + -8

Reorder the terms:
-82 + 17Y = 6(-3 + 4Y) + -8
-82 + 17Y = (-3 * 6 + 4Y * 6) + -8
-82 + 17Y = (-18 + 24Y) + -8

Reorder the terms:
-82 + 17Y = -18 + -8 + 24Y

Combine like terms: -18 + -8 = -26
-82 + 17Y = -26 + 24Y

Solving
-82 + 17Y = -26 + 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.
-82 + 17Y + -24Y = -26 + 24Y + -24Y

Combine like terms: 17Y + -24Y = -7Y
-82 + -7Y = -26 + 24Y + -24Y

Combine like terms: 24Y + -24Y = 0
-82 + -7Y = -26 + 0
-82 + -7Y = -26

Add '82' to each side of the equation.
-82 + 82 + -7Y = -26 + 82

Combine like terms: -82 + 82 = 0
0 + -7Y = -26 + 82
-7Y = -26 + 82

Combine like terms: -26 + 82 = 56
-7Y = 56

Divide each side by '-7'.
Y = -8

Simplifying
Y = -8

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