5y-2=y-10

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Solution for 5y-2=y-10 equation:


Simplifying
5y + -2 = y + -10

Reorder the terms:
-2 + 5y = y + -10

Reorder the terms:
-2 + 5y = -10 + y

Solving
-2 + 5y = -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.
-2 + 5y + -1y = -10 + y + -1y

Combine like terms: 5y + -1y = 4y
-2 + 4y = -10 + y + -1y

Combine like terms: y + -1y = 0
-2 + 4y = -10 + 0
-2 + 4y = -10

Add '2' to each side of the equation.
-2 + 2 + 4y = -10 + 2

Combine like terms: -2 + 2 = 0
0 + 4y = -10 + 2
4y = -10 + 2

Combine like terms: -10 + 2 = -8
4y = -8

Divide each side by '4'.
y = -2

Simplifying
y = -2

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