5(Y-3)-3(Y-4)=12

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Solution for 5(Y-3)-3(Y-4)=12 equation: 


Simplifying
5(Y + -3) + -3(Y + -4) = 12

Reorder the terms:
5(-3 + Y) + -3(Y + -4) = 12
(-3 * 5 + Y * 5) + -3(Y + -4) = 12
(-15 + 5Y) + -3(Y + -4) = 12

Reorder the terms:
-15 + 5Y + -3(-4 + Y) = 12
-15 + 5Y + (-4 * -3 + Y * -3) = 12
-15 + 5Y + (12 + -3Y) = 12

Reorder the terms:
-15 + 12 + 5Y + -3Y = 12

Combine like terms: -15 + 12 = -3
-3 + 5Y + -3Y = 12

Combine like terms: 5Y + -3Y = 2Y
-3 + 2Y = 12

Solving
-3 + 2Y = 12

Solving for variable 'Y'.

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

Add '3' to each side of the equation.
-3 + 3 + 2Y = 12 + 3

Combine like terms: -3 + 3 = 0
0 + 2Y = 12 + 3
2Y = 12 + 3

Combine like terms: 12 + 3 = 15
2Y = 15

Divide each side by '2'.
Y = 7.5

Simplifying
Y = 7.5

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