Y+13+2Y=14-3Y+29+Y

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Solution for Y+13+2Y=14-3Y+29+Y equation:


Simplifying
Y + 13 + 2Y = 14 + -3Y + 29 + Y

Reorder the terms:
13 + Y + 2Y = 14 + -3Y + 29 + Y

Combine like terms: Y + 2Y = 3Y
13 + 3Y = 14 + -3Y + 29 + Y

Reorder the terms:
13 + 3Y = 14 + 29 + -3Y + Y

Combine like terms: 14 + 29 = 43
13 + 3Y = 43 + -3Y + Y

Combine like terms: -3Y + Y = -2Y
13 + 3Y = 43 + -2Y

Solving
13 + 3Y = 43 + -2Y

Solving for variable 'Y'.

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

Add '2Y' to each side of the equation.
13 + 3Y + 2Y = 43 + -2Y + 2Y

Combine like terms: 3Y + 2Y = 5Y
13 + 5Y = 43 + -2Y + 2Y

Combine like terms: -2Y + 2Y = 0
13 + 5Y = 43 + 0
13 + 5Y = 43

Add '-13' to each side of the equation.
13 + -13 + 5Y = 43 + -13

Combine like terms: 13 + -13 = 0
0 + 5Y = 43 + -13
5Y = 43 + -13

Combine like terms: 43 + -13 = 30
5Y = 30

Divide each side by '5'.
Y = 6

Simplifying
Y = 6

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