2(9-Y)+11=-11(y-4)-10

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Solution for 2(9-Y)+11=-11(y-4)-10 equation:


Simplifying
2(9 + -1Y) + 11 = -11(y + -4) + -10
(9 * 2 + -1Y * 2) + 11 = -11(y + -4) + -10
(18 + -2Y) + 11 = -11(y + -4) + -10

Reorder the terms:
18 + 11 + -2Y = -11(y + -4) + -10

Combine like terms: 18 + 11 = 29
29 + -2Y = -11(y + -4) + -10

Reorder the terms:
29 + -2Y = -11(-4 + y) + -10
29 + -2Y = (-4 * -11 + y * -11) + -10
29 + -2Y = (44 + -11y) + -10

Reorder the terms:
29 + -2Y = 44 + -10 + -11y

Combine like terms: 44 + -10 = 34
29 + -2Y = 34 + -11y

Solving
29 + -2Y = 34 + -11y

Solving for variable 'Y'.

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

Add '-29' to each side of the equation.
29 + -29 + -2Y = 34 + -29 + -11y

Combine like terms: 29 + -29 = 0
0 + -2Y = 34 + -29 + -11y
-2Y = 34 + -29 + -11y

Combine like terms: 34 + -29 = 5
-2Y = 5 + -11y

Divide each side by '-2'.
Y = -2.5 + 5.5y

Simplifying
Y = -2.5 + 5.5y

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