5y-10=4y-8

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Solution for 5y-10=4y-8 equation:


Simplifying
5y + -10 = 4y + -8

Reorder the terms:
-10 + 5y = 4y + -8

Reorder the terms:
-10 + 5y = -8 + 4y

Solving
-10 + 5y = -8 + 4y

Solving for variable 'y'.

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

Add '-4y' to each side of the equation.
-10 + 5y + -4y = -8 + 4y + -4y

Combine like terms: 5y + -4y = 1y
-10 + 1y = -8 + 4y + -4y

Combine like terms: 4y + -4y = 0
-10 + 1y = -8 + 0
-10 + 1y = -8

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

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

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

Divide each side by '1'.
y = 2

Simplifying
y = 2

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