5Y-(3Y+2)=5(2Y+3)+8

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Solution for 5Y-(3Y+2)=5(2Y+3)+8 equation: 


Simplifying
5Y + -1(3Y + 2) = 5(2Y + 3) + 8

Reorder the terms:
5Y + -1(2 + 3Y) = 5(2Y + 3) + 8
5Y + (2 * -1 + 3Y * -1) = 5(2Y + 3) + 8
5Y + (-2 + -3Y) = 5(2Y + 3) + 8

Reorder the terms:
-2 + 5Y + -3Y = 5(2Y + 3) + 8

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

Reorder the terms:
-2 + 2Y = 5(3 + 2Y) + 8
-2 + 2Y = (3 * 5 + 2Y * 5) + 8
-2 + 2Y = (15 + 10Y) + 8

Reorder the terms:
-2 + 2Y = 15 + 8 + 10Y

Combine like terms: 15 + 8 = 23
-2 + 2Y = 23 + 10Y

Solving
-2 + 2Y = 23 + 10Y

Solving for variable 'Y'.

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

Add '-10Y' to each side of the equation.
-2 + 2Y + -10Y = 23 + 10Y + -10Y

Combine like terms: 2Y + -10Y = -8Y
-2 + -8Y = 23 + 10Y + -10Y

Combine like terms: 10Y + -10Y = 0
-2 + -8Y = 23 + 0
-2 + -8Y = 23

Add '2' to each side of the equation.
-2 + 2 + -8Y = 23 + 2

Combine like terms: -2 + 2 = 0
0 + -8Y = 23 + 2
-8Y = 23 + 2

Combine like terms: 23 + 2 = 25
-8Y = 25

Divide each side by '-8'.
Y = -3.125

Simplifying
Y = -3.125

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