7y-10=3y-8

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Solution for 7y-10=3y-8 equation:


Simplifying
7y + -10 = 3y + -8

Reorder the terms:
-10 + 7y = 3y + -8

Reorder the terms:
-10 + 7y = -8 + 3y

Solving
-10 + 7y = -8 + 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.
-10 + 7y + -3y = -8 + 3y + -3y

Combine like terms: 7y + -3y = 4y
-10 + 4y = -8 + 3y + -3y

Combine like terms: 3y + -3y = 0
-10 + 4y = -8 + 0
-10 + 4y = -8

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

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

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

Divide each side by '4'.
y = 0.5

Simplifying
y = 0.5

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