6Y-(4Y-13)=10Y-(6Y-5)

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Solution for 6Y-(4Y-13)=10Y-(6Y-5) equation: 


Simplifying
6Y + -1(4Y + -13) = 10Y + -1(6Y + -5)

Reorder the terms:
6Y + -1(-13 + 4Y) = 10Y + -1(6Y + -5)
6Y + (-13 * -1 + 4Y * -1) = 10Y + -1(6Y + -5)
6Y + (13 + -4Y) = 10Y + -1(6Y + -5)

Reorder the terms:
13 + 6Y + -4Y = 10Y + -1(6Y + -5)

Combine like terms: 6Y + -4Y = 2Y
13 + 2Y = 10Y + -1(6Y + -5)

Reorder the terms:
13 + 2Y = 10Y + -1(-5 + 6Y)
13 + 2Y = 10Y + (-5 * -1 + 6Y * -1)
13 + 2Y = 10Y + (5 + -6Y)

Reorder the terms:
13 + 2Y = 5 + 10Y + -6Y

Combine like terms: 10Y + -6Y = 4Y
13 + 2Y = 5 + 4Y

Solving
13 + 2Y = 5 + 4Y

Solving for variable 'Y'.

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

Add '-4Y' to each side of the equation.
13 + 2Y + -4Y = 5 + 4Y + -4Y

Combine like terms: 2Y + -4Y = -2Y
13 + -2Y = 5 + 4Y + -4Y

Combine like terms: 4Y + -4Y = 0
13 + -2Y = 5 + 0
13 + -2Y = 5

Add '-13' to each side of the equation.
13 + -13 + -2Y = 5 + -13

Combine like terms: 13 + -13 = 0
0 + -2Y = 5 + -13
-2Y = 5 + -13

Combine like terms: 5 + -13 = -8
-2Y = -8

Divide each side by '-2'.
Y = 4

Simplifying
Y = 4

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