5y-34=3(y-8)

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Solution for 5y-34=3(y-8) equation:


Simplifying
5y + -34 = 3(y + -8)

Reorder the terms:
-34 + 5y = 3(y + -8)

Reorder the terms:
-34 + 5y = 3(-8 + y)
-34 + 5y = (-8 * 3 + y * 3)
-34 + 5y = (-24 + 3y)

Solving
-34 + 5y = -24 + 3y

Solving for variable 'y'.

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

Add '-3y' to each side of the equation.
-34 + 5y + -3y = -24 + 3y + -3y

Combine like terms: 5y + -3y = 2y
-34 + 2y = -24 + 3y + -3y

Combine like terms: 3y + -3y = 0
-34 + 2y = -24 + 0
-34 + 2y = -24

Add '34' to each side of the equation.
-34 + 34 + 2y = -24 + 34

Combine like terms: -34 + 34 = 0
0 + 2y = -24 + 34
2y = -24 + 34

Combine like terms: -24 + 34 = 10
2y = 10

Divide each side by '2'.
y = 5

Simplifying
y = 5

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