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

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


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

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

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

Solving
24 + 2y = 12

Solving for variable 'y'.

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

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

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

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

Divide each side by '2'.
y = -6

Simplifying
y = -6

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