10y-2=7y+7

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Solution for 10y-2=7y+7 equation:


Simplifying
10y + -2 = 7y + 7

Reorder the terms:
-2 + 10y = 7y + 7

Reorder the terms:
-2 + 10y = 7 + 7y

Solving
-2 + 10y = 7 + 7y

Solving for variable 'y'.

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

Add '-7y' to each side of the equation.
-2 + 10y + -7y = 7 + 7y + -7y

Combine like terms: 10y + -7y = 3y
-2 + 3y = 7 + 7y + -7y

Combine like terms: 7y + -7y = 0
-2 + 3y = 7 + 0
-2 + 3y = 7

Add '2' to each side of the equation.
-2 + 2 + 3y = 7 + 2

Combine like terms: -2 + 2 = 0
0 + 3y = 7 + 2
3y = 7 + 2

Combine like terms: 7 + 2 = 9
3y = 9

Divide each side by '3'.
y = 3

Simplifying
y = 3

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