3(y-8)=16-7y

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Solution for 3(y-8)=16-7y equation:


Simplifying
3(y + -8) = 16 + -7y

Reorder the terms:
3(-8 + y) = 16 + -7y
(-8 * 3 + y * 3) = 16 + -7y
(-24 + 3y) = 16 + -7y

Solving
-24 + 3y = 16 + -7y

Solving for variable 'y'.

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

Add '7y' to each side of the equation.
-24 + 3y + 7y = 16 + -7y + 7y

Combine like terms: 3y + 7y = 10y
-24 + 10y = 16 + -7y + 7y

Combine like terms: -7y + 7y = 0
-24 + 10y = 16 + 0
-24 + 10y = 16

Add '24' to each side of the equation.
-24 + 24 + 10y = 16 + 24

Combine like terms: -24 + 24 = 0
0 + 10y = 16 + 24
10y = 16 + 24

Combine like terms: 16 + 24 = 40
10y = 40

Divide each side by '10'.
y = 4

Simplifying
y = 4

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