8y-38=y-10

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Solution for 8y-38=y-10 equation:


Simplifying
8y + -38 = y + -10

Reorder the terms:
-38 + 8y = y + -10

Reorder the terms:
-38 + 8y = -10 + y

Solving
-38 + 8y = -10 + y

Solving for variable 'y'.

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

Add '-1y' to each side of the equation.
-38 + 8y + -1y = -10 + y + -1y

Combine like terms: 8y + -1y = 7y
-38 + 7y = -10 + y + -1y

Combine like terms: y + -1y = 0
-38 + 7y = -10 + 0
-38 + 7y = -10

Add '38' to each side of the equation.
-38 + 38 + 7y = -10 + 38

Combine like terms: -38 + 38 = 0
0 + 7y = -10 + 38
7y = -10 + 38

Combine like terms: -10 + 38 = 28
7y = 28

Divide each side by '7'.
y = 4

Simplifying
y = 4

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