3(4-y)=5(y+2)

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


Simplifying
3(4 + -1y) = 5(y + 2)
(4 * 3 + -1y * 3) = 5(y + 2)
(12 + -3y) = 5(y + 2)

Reorder the terms:
12 + -3y = 5(2 + y)
12 + -3y = (2 * 5 + y * 5)
12 + -3y = (10 + 5y)

Solving
12 + -3y = 10 + 5y

Solving for variable 'y'.

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

Add '-5y' to each side of the equation.
12 + -3y + -5y = 10 + 5y + -5y

Combine like terms: -3y + -5y = -8y
12 + -8y = 10 + 5y + -5y

Combine like terms: 5y + -5y = 0
12 + -8y = 10 + 0
12 + -8y = 10

Add '-12' to each side of the equation.
12 + -12 + -8y = 10 + -12

Combine like terms: 12 + -12 = 0
0 + -8y = 10 + -12
-8y = 10 + -12

Combine like terms: 10 + -12 = -2
-8y = -2

Divide each side by '-8'.
y = 0.25

Simplifying
y = 0.25

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