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

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


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

Reorder the terms:
5(-5 + Y) = 4(3Y + 5) + -3
(-5 * 5 + Y * 5) = 4(3Y + 5) + -3
(-25 + 5Y) = 4(3Y + 5) + -3

Reorder the terms:
-25 + 5Y = 4(5 + 3Y) + -3
-25 + 5Y = (5 * 4 + 3Y * 4) + -3
-25 + 5Y = (20 + 12Y) + -3

Reorder the terms:
-25 + 5Y = 20 + -3 + 12Y

Combine like terms: 20 + -3 = 17
-25 + 5Y = 17 + 12Y

Solving
-25 + 5Y = 17 + 12Y

Solving for variable 'Y'.

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

Add '-12Y' to each side of the equation.
-25 + 5Y + -12Y = 17 + 12Y + -12Y

Combine like terms: 5Y + -12Y = -7Y
-25 + -7Y = 17 + 12Y + -12Y

Combine like terms: 12Y + -12Y = 0
-25 + -7Y = 17 + 0
-25 + -7Y = 17

Add '25' to each side of the equation.
-25 + 25 + -7Y = 17 + 25

Combine like terms: -25 + 25 = 0
0 + -7Y = 17 + 25
-7Y = 17 + 25

Combine like terms: 17 + 25 = 42
-7Y = 42

Divide each side by '-7'.
Y = -6

Simplifying
Y = -6

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