2y-8=3y-10

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Solution for 2y-8=3y-10 equation:


Simplifying
2y + -8 = 3y + -10

Reorder the terms:
-8 + 2y = 3y + -10

Reorder the terms:
-8 + 2y = -10 + 3y

Solving
-8 + 2y = -10 + 3y

Solving for variable 'y'.

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

Add '-3y' to each side of the equation.
-8 + 2y + -3y = -10 + 3y + -3y

Combine like terms: 2y + -3y = -1y
-8 + -1y = -10 + 3y + -3y

Combine like terms: 3y + -3y = 0
-8 + -1y = -10 + 0
-8 + -1y = -10

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

Combine like terms: -8 + 8 = 0
0 + -1y = -10 + 8
-1y = -10 + 8

Combine like terms: -10 + 8 = -2
-1y = -2

Divide each side by '-1'.
y = 2

Simplifying
y = 2

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