3(Y-4)=80-2(3Y+1)

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Solution for 3(Y-4)=80-2(3Y+1) equation: 


Simplifying
3(Y + -4) = 80 + -2(3Y + 1)

Reorder the terms:
3(-4 + Y) = 80 + -2(3Y + 1)
(-4 * 3 + Y * 3) = 80 + -2(3Y + 1)
(-12 + 3Y) = 80 + -2(3Y + 1)

Reorder the terms:
-12 + 3Y = 80 + -2(1 + 3Y)
-12 + 3Y = 80 + (1 * -2 + 3Y * -2)
-12 + 3Y = 80 + (-2 + -6Y)

Combine like terms: 80 + -2 = 78
-12 + 3Y = 78 + -6Y

Solving
-12 + 3Y = 78 + -6Y

Solving for variable 'Y'.

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

Add '6Y' to each side of the equation.
-12 + 3Y + 6Y = 78 + -6Y + 6Y

Combine like terms: 3Y + 6Y = 9Y
-12 + 9Y = 78 + -6Y + 6Y

Combine like terms: -6Y + 6Y = 0
-12 + 9Y = 78 + 0
-12 + 9Y = 78

Add '12' to each side of the equation.
-12 + 12 + 9Y = 78 + 12

Combine like terms: -12 + 12 = 0
0 + 9Y = 78 + 12
9Y = 78 + 12

Combine like terms: 78 + 12 = 90
9Y = 90

Divide each side by '9'.
Y = 10

Simplifying
Y = 10

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