3Y+15=2Y+(100-84)

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Solution for 3Y+15=2Y+(100-84) equation: 


Simplifying
3Y + 15 = 2Y + (100 + -84)

Reorder the terms:
15 + 3Y = 2Y + (100 + -84)

Combine like terms: 100 + -84 = 16
15 + 3Y = 2Y + (16)
15 + 3Y = 2Y + 16

Reorder the terms:
15 + 3Y = 16 + 2Y

Solving
15 + 3Y = 16 + 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.
15 + 3Y + -2Y = 16 + 2Y + -2Y

Combine like terms: 3Y + -2Y = 1Y
15 + 1Y = 16 + 2Y + -2Y

Combine like terms: 2Y + -2Y = 0
15 + 1Y = 16 + 0
15 + 1Y = 16

Add '-15' to each side of the equation.
15 + -15 + 1Y = 16 + -15

Combine like terms: 15 + -15 = 0
0 + 1Y = 16 + -15
1Y = 16 + -15

Combine like terms: 16 + -15 = 1
1Y = 1

Divide each side by '1'.
Y = 1

Simplifying
Y = 1

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