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

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


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

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

Combine like terms: -34 + 2 = -32
-32 + 3y = 2(3y + -3) + -8

Reorder the terms:
-32 + 3y = 2(-3 + 3y) + -8
-32 + 3y = (-3 * 2 + 3y * 2) + -8
-32 + 3y = (-6 + 6y) + -8

Reorder the terms:
-32 + 3y = -6 + -8 + 6y

Combine like terms: -6 + -8 = -14
-32 + 3y = -14 + 6y

Solving
-32 + 3y = -14 + 6y

Solving for variable 'y'.

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

Add '-6y' to each side of the equation.
-32 + 3y + -6y = -14 + 6y + -6y

Combine like terms: 3y + -6y = -3y
-32 + -3y = -14 + 6y + -6y

Combine like terms: 6y + -6y = 0
-32 + -3y = -14 + 0
-32 + -3y = -14

Add '32' to each side of the equation.
-32 + 32 + -3y = -14 + 32

Combine like terms: -32 + 32 = 0
0 + -3y = -14 + 32
-3y = -14 + 32

Combine like terms: -14 + 32 = 18
-3y = 18

Divide each side by '-3'.
y = -6

Simplifying
y = -6

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