6y-34=8(y-2)

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Solution for 6y-34=8(y-2) equation:


Simplifying
6y + -34 = 8(y + -2)

Reorder the terms:
-34 + 6y = 8(y + -2)

Reorder the terms:
-34 + 6y = 8(-2 + y)
-34 + 6y = (-2 * 8 + y * 8)
-34 + 6y = (-16 + 8y)

Solving
-34 + 6y = -16 + 8y

Solving for variable 'y'.

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

Add '-8y' to each side of the equation.
-34 + 6y + -8y = -16 + 8y + -8y

Combine like terms: 6y + -8y = -2y
-34 + -2y = -16 + 8y + -8y

Combine like terms: 8y + -8y = 0
-34 + -2y = -16 + 0
-34 + -2y = -16

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

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

Combine like terms: -16 + 34 = 18
-2y = 18

Divide each side by '-2'.
y = -9

Simplifying
y = -9

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