12=3(y+8)-5y

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Solution for 12=3(y+8)-5y equation: 


Simplifying
12 = 3(y + 8) + -5y

Reorder the terms:
12 = 3(8 + y) + -5y
12 = (8 * 3 + y * 3) + -5y
12 = (24 + 3y) + -5y

Combine like terms: 3y + -5y = -2y
12 = 24 + -2y

Solving
12 = 24 + -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 + 2y = 24 + -2y + 2y

Combine like terms: -2y + 2y = 0
12 + 2y = 24 + 0
12 + 2y = 24

Add '-12' to each side of the equation.
12 + -12 + 2y = 24 + -12

Combine like terms: 12 + -12 = 0
0 + 2y = 24 + -12
2y = 24 + -12

Combine like terms: 24 + -12 = 12
2y = 12

Divide each side by '2'.
y = 6

Simplifying
y = 6

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