(3Y-1)=5Y-11

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Solution for (3Y-1)=5Y-11 equation:


Simplifying
(3Y + -1) = 5Y + -11

Reorder the terms:
(-1 + 3Y) = 5Y + -11

Remove parenthesis around (-1 + 3Y)
-1 + 3Y = 5Y + -11

Reorder the terms:
-1 + 3Y = -11 + 5Y

Solving
-1 + 3Y = -11 + 5Y

Solving for variable 'Y'.

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

Add '-5Y' to each side of the equation.
-1 + 3Y + -5Y = -11 + 5Y + -5Y

Combine like terms: 3Y + -5Y = -2Y
-1 + -2Y = -11 + 5Y + -5Y

Combine like terms: 5Y + -5Y = 0
-1 + -2Y = -11 + 0
-1 + -2Y = -11

Add '1' to each side of the equation.
-1 + 1 + -2Y = -11 + 1

Combine like terms: -1 + 1 = 0
0 + -2Y = -11 + 1
-2Y = -11 + 1

Combine like terms: -11 + 1 = -10
-2Y = -10

Divide each side by '-2'.
Y = 5

Simplifying
Y = 5

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