10y-21=7y+10

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Solution for 10y-21=7y+10 equation:


Simplifying
10y + -21 = 7y + 10

Reorder the terms:
-21 + 10y = 7y + 10

Reorder the terms:
-21 + 10y = 10 + 7y

Solving
-21 + 10y = 10 + 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.
-21 + 10y + -7y = 10 + 7y + -7y

Combine like terms: 10y + -7y = 3y
-21 + 3y = 10 + 7y + -7y

Combine like terms: 7y + -7y = 0
-21 + 3y = 10 + 0
-21 + 3y = 10

Add '21' to each side of the equation.
-21 + 21 + 3y = 10 + 21

Combine like terms: -21 + 21 = 0
0 + 3y = 10 + 21
3y = 10 + 21

Combine like terms: 10 + 21 = 31
3y = 31

Divide each side by '3'.
y = 10.33333333

Simplifying
y = 10.33333333

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