3y+7+10y-17=20-3y+16-7y

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Solution for 3y+7+10y-17=20-3y+16-7y equation:


Simplifying
3y + 7 + 10y + -17 = 20 + -3y + 16 + -7y

Reorder the terms:
7 + -17 + 3y + 10y = 20 + -3y + 16 + -7y

Combine like terms: 7 + -17 = -10
-10 + 3y + 10y = 20 + -3y + 16 + -7y

Combine like terms: 3y + 10y = 13y
-10 + 13y = 20 + -3y + 16 + -7y

Reorder the terms:
-10 + 13y = 20 + 16 + -3y + -7y

Combine like terms: 20 + 16 = 36
-10 + 13y = 36 + -3y + -7y

Combine like terms: -3y + -7y = -10y
-10 + 13y = 36 + -10y

Solving
-10 + 13y = 36 + -10y

Solving for variable 'y'.

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

Add '10y' to each side of the equation.
-10 + 13y + 10y = 36 + -10y + 10y

Combine like terms: 13y + 10y = 23y
-10 + 23y = 36 + -10y + 10y

Combine like terms: -10y + 10y = 0
-10 + 23y = 36 + 0
-10 + 23y = 36

Add '10' to each side of the equation.
-10 + 10 + 23y = 36 + 10

Combine like terms: -10 + 10 = 0
0 + 23y = 36 + 10
23y = 36 + 10

Combine like terms: 36 + 10 = 46
23y = 46

Divide each side by '23'.
y = 2

Simplifying
y = 2

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