7(8-Y)+9=-9(Y-2)-6

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Solution for 7(8-Y)+9=-9(Y-2)-6 equation: 


Simplifying
7(8 + -1Y) + 9 = -9(Y + -2) + -6
(8 * 7 + -1Y * 7) + 9 = -9(Y + -2) + -6
(56 + -7Y) + 9 = -9(Y + -2) + -6

Reorder the terms:
56 + 9 + -7Y = -9(Y + -2) + -6

Combine like terms: 56 + 9 = 65
65 + -7Y = -9(Y + -2) + -6

Reorder the terms:
65 + -7Y = -9(-2 + Y) + -6
65 + -7Y = (-2 * -9 + Y * -9) + -6
65 + -7Y = (18 + -9Y) + -6

Reorder the terms:
65 + -7Y = 18 + -6 + -9Y

Combine like terms: 18 + -6 = 12
65 + -7Y = 12 + -9Y

Solving
65 + -7Y = 12 + -9Y

Solving for variable 'Y'.

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

Add '9Y' to each side of the equation.
65 + -7Y + 9Y = 12 + -9Y + 9Y

Combine like terms: -7Y + 9Y = 2Y
65 + 2Y = 12 + -9Y + 9Y

Combine like terms: -9Y + 9Y = 0
65 + 2Y = 12 + 0
65 + 2Y = 12

Add '-65' to each side of the equation.
65 + -65 + 2Y = 12 + -65

Combine like terms: 65 + -65 = 0
0 + 2Y = 12 + -65
2Y = 12 + -65

Combine like terms: 12 + -65 = -53
2Y = -53

Divide each side by '2'.
Y = -26.5

Simplifying
Y = -26.5

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