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

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


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

Reorder the terms:
15 + -3y = 3(3 + y) + -1y
15 + -3y = (3 * 3 + y * 3) + -1y
15 + -3y = (9 + 3y) + -1y

Combine like terms: 3y + -1y = 2y
15 + -3y = 9 + 2y

Solving
15 + -3y = 9 + 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.
15 + -3y + -2y = 9 + 2y + -2y

Combine like terms: -3y + -2y = -5y
15 + -5y = 9 + 2y + -2y

Combine like terms: 2y + -2y = 0
15 + -5y = 9 + 0
15 + -5y = 9

Add '-15' to each side of the equation.
15 + -15 + -5y = 9 + -15

Combine like terms: 15 + -15 = 0
0 + -5y = 9 + -15
-5y = 9 + -15

Combine like terms: 9 + -15 = -6
-5y = -6

Divide each side by '-5'.
y = 1.2

Simplifying
y = 1.2

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