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

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


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

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

Solving
12 + -3y = 10 + 2y

Solving for variable 'y'.

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

Add '-2y' to each side of the equation.
12 + -3y + -2y = 10 + 2y + -2y

Combine like terms: -3y + -2y = -5y
12 + -5y = 10 + 2y + -2y

Combine like terms: 2y + -2y = 0
12 + -5y = 10 + 0
12 + -5y = 10

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

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

Combine like terms: 10 + -12 = -2
-5y = -2

Divide each side by '-5'.
y = 0.4

Simplifying
y = 0.4

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