5y-21+Y=3Y+5

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Solution for 5y-21+Y=3Y+5 equation:


Simplifying
5y + -21 + Y = 3Y + 5

Reorder the terms:
-21 + Y + 5y = 3Y + 5

Reorder the terms:
-21 + Y + 5y = 5 + 3Y

Solving
-21 + Y + 5y = 5 + 3Y

Solving for variable 'Y'.

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

Add '-3Y' to each side of the equation.
-21 + Y + -3Y + 5y = 5 + 3Y + -3Y

Combine like terms: Y + -3Y = -2Y
-21 + -2Y + 5y = 5 + 3Y + -3Y

Combine like terms: 3Y + -3Y = 0
-21 + -2Y + 5y = 5 + 0
-21 + -2Y + 5y = 5

Add '21' to each side of the equation.
-21 + -2Y + 21 + 5y = 5 + 21

Reorder the terms:
-21 + 21 + -2Y + 5y = 5 + 21

Combine like terms: -21 + 21 = 0
0 + -2Y + 5y = 5 + 21
-2Y + 5y = 5 + 21

Combine like terms: 5 + 21 = 26
-2Y + 5y = 26

Add '-5y' to each side of the equation.
-2Y + 5y + -5y = 26 + -5y

Combine like terms: 5y + -5y = 0
-2Y + 0 = 26 + -5y
-2Y = 26 + -5y

Divide each side by '-2'.
Y = -13 + 2.5y

Simplifying
Y = -13 + 2.5y

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