3Y+2=5Y-7

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Solution for 3Y+2=5Y-7 equation: 


Simplifying
3Y + 2 = 5Y + -7

Reorder the terms:
2 + 3Y = 5Y + -7

Reorder the terms:
2 + 3Y = -7 + 5Y

Solving
2 + 3Y = -7 + 5Y

Solving for variable 'Y'.

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

Add '-5Y' to each side of the equation.
2 + 3Y + -5Y = -7 + 5Y + -5Y

Combine like terms: 3Y + -5Y = -2Y
2 + -2Y = -7 + 5Y + -5Y

Combine like terms: 5Y + -5Y = 0
2 + -2Y = -7 + 0
2 + -2Y = -7

Add '-2' to each side of the equation.
2 + -2 + -2Y = -7 + -2

Combine like terms: 2 + -2 = 0
0 + -2Y = -7 + -2
-2Y = -7 + -2

Combine like terms: -7 + -2 = -9
-2Y = -9

Divide each side by '-2'.
Y = 4.5

Simplifying
Y = 4.5

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