7y+34=2(y-8)

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Solution for 7y+34=2(y-8) equation: 


Simplifying
7y + 34 = 2(y + -8)

Reorder the terms:
34 + 7y = 2(y + -8)

Reorder the terms:
34 + 7y = 2(-8 + y)
34 + 7y = (-8 * 2 + y * 2)
34 + 7y = (-16 + 2y)

Solving
34 + 7y = -16 + 2y

Solving for variable 'y'.

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

Add '-2y' to each side of the equation.
34 + 7y + -2y = -16 + 2y + -2y

Combine like terms: 7y + -2y = 5y
34 + 5y = -16 + 2y + -2y

Combine like terms: 2y + -2y = 0
34 + 5y = -16 + 0
34 + 5y = -16

Add '-34' to each side of the equation.
34 + -34 + 5y = -16 + -34

Combine like terms: 34 + -34 = 0
0 + 5y = -16 + -34
5y = -16 + -34

Combine like terms: -16 + -34 = -50
5y = -50

Divide each side by '5'.
y = -10

Simplifying
y = -10

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