28+3Y-6=13Y-13-3Y

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Solution for 28+3Y-6=13Y-13-3Y equation:


Simplifying
28 + 3Y + -6 = 13Y + -13 + -3Y

Reorder the terms:
28 + -6 + 3Y = 13Y + -13 + -3Y

Combine like terms: 28 + -6 = 22
22 + 3Y = 13Y + -13 + -3Y

Reorder the terms:
22 + 3Y = -13 + 13Y + -3Y

Combine like terms: 13Y + -3Y = 10Y
22 + 3Y = -13 + 10Y

Solving
22 + 3Y = -13 + 10Y

Solving for variable 'Y'.

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

Add '-10Y' to each side of the equation.
22 + 3Y + -10Y = -13 + 10Y + -10Y

Combine like terms: 3Y + -10Y = -7Y
22 + -7Y = -13 + 10Y + -10Y

Combine like terms: 10Y + -10Y = 0
22 + -7Y = -13 + 0
22 + -7Y = -13

Add '-22' to each side of the equation.
22 + -22 + -7Y = -13 + -22

Combine like terms: 22 + -22 = 0
0 + -7Y = -13 + -22
-7Y = -13 + -22

Combine like terms: -13 + -22 = -35
-7Y = -35

Divide each side by '-7'.
Y = 5

Simplifying
Y = 5

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