7y-17=3y+13

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Solution for 7y-17=3y+13 equation:


Simplifying
7y + -17 = 3y + 13

Reorder the terms:
-17 + 7y = 3y + 13

Reorder the terms:
-17 + 7y = 13 + 3y

Solving
-17 + 7y = 13 + 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.
-17 + 7y + -3y = 13 + 3y + -3y

Combine like terms: 7y + -3y = 4y
-17 + 4y = 13 + 3y + -3y

Combine like terms: 3y + -3y = 0
-17 + 4y = 13 + 0
-17 + 4y = 13

Add '17' to each side of the equation.
-17 + 17 + 4y = 13 + 17

Combine like terms: -17 + 17 = 0
0 + 4y = 13 + 17
4y = 13 + 17

Combine like terms: 13 + 17 = 30
4y = 30

Divide each side by '4'.
y = 7.5

Simplifying
y = 7.5

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