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

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


Simplifying
3(5 + -1y) = 3(y + 4)
(5 * 3 + -1y * 3) = 3(y + 4)
(15 + -3y) = 3(y + 4)

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

Solving
15 + -3y = 12 + 3y

Solving for variable 'y'.

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

Add '-3y' to each side of the equation.
15 + -3y + -3y = 12 + 3y + -3y

Combine like terms: -3y + -3y = -6y
15 + -6y = 12 + 3y + -3y

Combine like terms: 3y + -3y = 0
15 + -6y = 12 + 0
15 + -6y = 12

Add '-15' to each side of the equation.
15 + -15 + -6y = 12 + -15

Combine like terms: 15 + -15 = 0
0 + -6y = 12 + -15
-6y = 12 + -15

Combine like terms: 12 + -15 = -3
-6y = -3

Divide each side by '-6'.
y = 0.5

Simplifying
y = 0.5

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