2(Y+1)-3(Y+6)=9

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Solution for 2(Y+1)-3(Y+6)=9 equation: 


Simplifying
2(Y + 1) + -3(Y + 6) = 9

Reorder the terms:
2(1 + Y) + -3(Y + 6) = 9
(1 * 2 + Y * 2) + -3(Y + 6) = 9
(2 + 2Y) + -3(Y + 6) = 9

Reorder the terms:
2 + 2Y + -3(6 + Y) = 9
2 + 2Y + (6 * -3 + Y * -3) = 9
2 + 2Y + (-18 + -3Y) = 9

Reorder the terms:
2 + -18 + 2Y + -3Y = 9

Combine like terms: 2 + -18 = -16
-16 + 2Y + -3Y = 9

Combine like terms: 2Y + -3Y = -1Y
-16 + -1Y = 9

Solving
-16 + -1Y = 9

Solving for variable 'Y'.

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

Add '16' to each side of the equation.
-16 + 16 + -1Y = 9 + 16

Combine like terms: -16 + 16 = 0
0 + -1Y = 9 + 16
-1Y = 9 + 16

Combine like terms: 9 + 16 = 25
-1Y = 25

Divide each side by '-1'.
Y = -25

Simplifying
Y = -25

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