2Y-3=13Y+74

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Solution for 2Y-3=13Y+74 equation:


Simplifying
2Y + -3 = 13Y + 74

Reorder the terms:
-3 + 2Y = 13Y + 74

Reorder the terms:
-3 + 2Y = 74 + 13Y

Solving
-3 + 2Y = 74 + 13Y

Solving for variable 'Y'.

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

Add '-13Y' to each side of the equation.
-3 + 2Y + -13Y = 74 + 13Y + -13Y

Combine like terms: 2Y + -13Y = -11Y
-3 + -11Y = 74 + 13Y + -13Y

Combine like terms: 13Y + -13Y = 0
-3 + -11Y = 74 + 0
-3 + -11Y = 74

Add '3' to each side of the equation.
-3 + 3 + -11Y = 74 + 3

Combine like terms: -3 + 3 = 0
0 + -11Y = 74 + 3
-11Y = 74 + 3

Combine like terms: 74 + 3 = 77
-11Y = 77

Divide each side by '-11'.
Y = -7

Simplifying
Y = -7

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