8y-38=2(y-4)

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Solution for 8y-38=2(y-4) equation:


Simplifying
8y + -38 = 2(y + -4)

Reorder the terms:
-38 + 8y = 2(y + -4)

Reorder the terms:
-38 + 8y = 2(-4 + y)
-38 + 8y = (-4 * 2 + y * 2)
-38 + 8y = (-8 + 2y)

Solving
-38 + 8y = -8 + 2y

Solving for variable 'y'.

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

Add '-2y' to each side of the equation.
-38 + 8y + -2y = -8 + 2y + -2y

Combine like terms: 8y + -2y = 6y
-38 + 6y = -8 + 2y + -2y

Combine like terms: 2y + -2y = 0
-38 + 6y = -8 + 0
-38 + 6y = -8

Add '38' to each side of the equation.
-38 + 38 + 6y = -8 + 38

Combine like terms: -38 + 38 = 0
0 + 6y = -8 + 38
6y = -8 + 38

Combine like terms: -8 + 38 = 30
6y = 30

Divide each side by '6'.
y = 5

Simplifying
y = 5

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