5-7(y+12)=16

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Solution for 5-7(y+12)=16 equation:


Simplifying
5 + -7(y + 12) = 16

Reorder the terms:
5 + -7(12 + y) = 16
5 + (12 * -7 + y * -7) = 16
5 + (-84 + -7y) = 16

Combine like terms: 5 + -84 = -79
-79 + -7y = 16

Solving
-79 + -7y = 16

Solving for variable 'y'.

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

Add '79' to each side of the equation.
-79 + 79 + -7y = 16 + 79

Combine like terms: -79 + 79 = 0
0 + -7y = 16 + 79
-7y = 16 + 79

Combine like terms: 16 + 79 = 95
-7y = 95

Divide each side by '-7'.
y = -13.57142857

Simplifying
y = -13.57142857

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