3y+7(y-2)=16

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Solution for 3y+7(y-2)=16 equation:


Simplifying
3y + 7(y + -2) = 16

Reorder the terms:
3y + 7(-2 + y) = 16
3y + (-2 * 7 + y * 7) = 16
3y + (-14 + 7y) = 16

Reorder the terms:
-14 + 3y + 7y = 16

Combine like terms: 3y + 7y = 10y
-14 + 10y = 16

Solving
-14 + 10y = 16

Solving for variable 'y'.

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

Add '14' to each side of the equation.
-14 + 14 + 10y = 16 + 14

Combine like terms: -14 + 14 = 0
0 + 10y = 16 + 14
10y = 16 + 14

Combine like terms: 16 + 14 = 30
10y = 30

Divide each side by '10'.
y = 3

Simplifying
y = 3

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