34=3y+2(y+7)

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Solution for 34=3y+2(y+7) equation: 


Simplifying
34 = 3y + 2(y + 7)

Reorder the terms:
34 = 3y + 2(7 + y)
34 = 3y + (7 * 2 + y * 2)
34 = 3y + (14 + 2y)

Reorder the terms:
34 = 14 + 3y + 2y

Combine like terms: 3y + 2y = 5y
34 = 14 + 5y

Solving
34 = 14 + 5y

Solving for variable 'y'.

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

Add '-5y' to each side of the equation.
34 + -5y = 14 + 5y + -5y

Combine like terms: 5y + -5y = 0
34 + -5y = 14 + 0
34 + -5y = 14

Add '-34' to each side of the equation.
34 + -34 + -5y = 14 + -34

Combine like terms: 34 + -34 = 0
0 + -5y = 14 + -34
-5y = 14 + -34

Combine like terms: 14 + -34 = -20
-5y = -20

Divide each side by '-5'.
y = 4

Simplifying
y = 4

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