6y-7=y+13

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Solution for 6y-7=y+13 equation:


Simplifying
6y + -7 = y + 13

Reorder the terms:
-7 + 6y = y + 13

Reorder the terms:
-7 + 6y = 13 + y

Solving
-7 + 6y = 13 + y

Solving for variable 'y'.

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

Add '-1y' to each side of the equation.
-7 + 6y + -1y = 13 + y + -1y

Combine like terms: 6y + -1y = 5y
-7 + 5y = 13 + y + -1y

Combine like terms: y + -1y = 0
-7 + 5y = 13 + 0
-7 + 5y = 13

Add '7' to each side of the equation.
-7 + 7 + 5y = 13 + 7

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

Combine like terms: 13 + 7 = 20
5y = 20

Divide each side by '5'.
y = 4

Simplifying
y = 4

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