2y-8=5y-10

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Solution for 2y-8=5y-10 equation:


Simplifying
2y + -8 = 5y + -10

Reorder the terms:
-8 + 2y = 5y + -10

Reorder the terms:
-8 + 2y = -10 + 5y

Solving
-8 + 2y = -10 + 5y

Solving for variable 'y'.

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

Add '-5y' to each side of the equation.
-8 + 2y + -5y = -10 + 5y + -5y

Combine like terms: 2y + -5y = -3y
-8 + -3y = -10 + 5y + -5y

Combine like terms: 5y + -5y = 0
-8 + -3y = -10 + 0
-8 + -3y = -10

Add '8' to each side of the equation.
-8 + 8 + -3y = -10 + 8

Combine like terms: -8 + 8 = 0
0 + -3y = -10 + 8
-3y = -10 + 8

Combine like terms: -10 + 8 = -2
-3y = -2

Divide each side by '-3'.
y = 0.6666666667

Simplifying
y = 0.6666666667

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