10y-65+14y-83=2y+13

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Solution for 10y-65+14y-83=2y+13 equation:


Simplifying
10y + -65 + 14y + -83 = 2y + 13

Reorder the terms:
-65 + -83 + 10y + 14y = 2y + 13

Combine like terms: -65 + -83 = -148
-148 + 10y + 14y = 2y + 13

Combine like terms: 10y + 14y = 24y
-148 + 24y = 2y + 13

Reorder the terms:
-148 + 24y = 13 + 2y

Solving
-148 + 24y = 13 + 2y

Solving for variable 'y'.

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

Add '-2y' to each side of the equation.
-148 + 24y + -2y = 13 + 2y + -2y

Combine like terms: 24y + -2y = 22y
-148 + 22y = 13 + 2y + -2y

Combine like terms: 2y + -2y = 0
-148 + 22y = 13 + 0
-148 + 22y = 13

Add '148' to each side of the equation.
-148 + 148 + 22y = 13 + 148

Combine like terms: -148 + 148 = 0
0 + 22y = 13 + 148
22y = 13 + 148

Combine like terms: 13 + 148 = 161
22y = 161

Divide each side by '22'.
y = 7.318181818

Simplifying
y = 7.318181818

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