3y-34=2-3(3y+8)

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Solution for 3y-34=2-3(3y+8) equation:


Simplifying
3y + -34 = 2 + -3(3y + 8)

Reorder the terms:
-34 + 3y = 2 + -3(3y + 8)

Reorder the terms:
-34 + 3y = 2 + -3(8 + 3y)
-34 + 3y = 2 + (8 * -3 + 3y * -3)
-34 + 3y = 2 + (-24 + -9y)

Combine like terms: 2 + -24 = -22
-34 + 3y = -22 + -9y

Solving
-34 + 3y = -22 + -9y

Solving for variable 'y'.

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

Add '9y' to each side of the equation.
-34 + 3y + 9y = -22 + -9y + 9y

Combine like terms: 3y + 9y = 12y
-34 + 12y = -22 + -9y + 9y

Combine like terms: -9y + 9y = 0
-34 + 12y = -22 + 0
-34 + 12y = -22

Add '34' to each side of the equation.
-34 + 34 + 12y = -22 + 34

Combine like terms: -34 + 34 = 0
0 + 12y = -22 + 34
12y = -22 + 34

Combine like terms: -22 + 34 = 12
12y = 12

Divide each side by '12'.
y = 1

Simplifying
y = 1

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