8Y+13=3Y-2

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Solution for 8Y+13=3Y-2 equation: 


Simplifying
8Y + 13 = 3Y + -2

Reorder the terms:
13 + 8Y = 3Y + -2

Reorder the terms:
13 + 8Y = -2 + 3Y

Solving
13 + 8Y = -2 + 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.
13 + 8Y + -3Y = -2 + 3Y + -3Y

Combine like terms: 8Y + -3Y = 5Y
13 + 5Y = -2 + 3Y + -3Y

Combine like terms: 3Y + -3Y = 0
13 + 5Y = -2 + 0
13 + 5Y = -2

Add '-13' to each side of the equation.
13 + -13 + 5Y = -2 + -13

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

Combine like terms: -2 + -13 = -15
5Y = -15

Divide each side by '5'.
Y = -3

Simplifying
Y = -3

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