4Y-3(Y-5)+2=8

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Solution for 4Y-3(Y-5)+2=8 equation: 


Simplifying
4Y + -3(Y + -5) + 2 = 8

Reorder the terms:
4Y + -3(-5 + Y) + 2 = 8
4Y + (-5 * -3 + Y * -3) + 2 = 8
4Y + (15 + -3Y) + 2 = 8

Reorder the terms:
15 + 2 + 4Y + -3Y = 8

Combine like terms: 15 + 2 = 17
17 + 4Y + -3Y = 8

Combine like terms: 4Y + -3Y = 1Y
17 + 1Y = 8

Solving
17 + 1Y = 8

Solving for variable 'Y'.

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

Add '-17' to each side of the equation.
17 + -17 + 1Y = 8 + -17

Combine like terms: 17 + -17 = 0
0 + 1Y = 8 + -17
1Y = 8 + -17

Combine like terms: 8 + -17 = -9
1Y = -9

Divide each side by '1'.
Y = -9

Simplifying
Y = -9

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