8y-2(y+4)=34

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Solution for 8y-2(y+4)=34 equation:


Simplifying
8y + -2(y + 4) = 34

Reorder the terms:
8y + -2(4 + y) = 34
8y + (4 * -2 + y * -2) = 34
8y + (-8 + -2y) = 34

Reorder the terms:
-8 + 8y + -2y = 34

Combine like terms: 8y + -2y = 6y
-8 + 6y = 34

Solving
-8 + 6y = 34

Solving for variable 'y'.

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

Add '8' to each side of the equation.
-8 + 8 + 6y = 34 + 8

Combine like terms: -8 + 8 = 0
0 + 6y = 34 + 8
6y = 34 + 8

Combine like terms: 34 + 8 = 42
6y = 42

Divide each side by '6'.
y = 7

Simplifying
y = 7

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