2y-17=7y+13

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Solution for 2y-17=7y+13 equation:


Simplifying
2y + -17 = 7y + 13

Reorder the terms:
-17 + 2y = 7y + 13

Reorder the terms:
-17 + 2y = 13 + 7y

Solving
-17 + 2y = 13 + 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.
-17 + 2y + -7y = 13 + 7y + -7y

Combine like terms: 2y + -7y = -5y
-17 + -5y = 13 + 7y + -7y

Combine like terms: 7y + -7y = 0
-17 + -5y = 13 + 0
-17 + -5y = 13

Add '17' to each side of the equation.
-17 + 17 + -5y = 13 + 17

Combine like terms: -17 + 17 = 0
0 + -5y = 13 + 17
-5y = 13 + 17

Combine like terms: 13 + 17 = 30
-5y = 30

Divide each side by '-5'.
y = -6

Simplifying
y = -6

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