13y-26=7(y+3)

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Solution for 13y-26=7(y+3) equation:


Simplifying
13y + -26 = 7(y + 3)

Reorder the terms:
-26 + 13y = 7(y + 3)

Reorder the terms:
-26 + 13y = 7(3 + y)
-26 + 13y = (3 * 7 + y * 7)
-26 + 13y = (21 + 7y)

Solving
-26 + 13y = 21 + 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.
-26 + 13y + -7y = 21 + 7y + -7y

Combine like terms: 13y + -7y = 6y
-26 + 6y = 21 + 7y + -7y

Combine like terms: 7y + -7y = 0
-26 + 6y = 21 + 0
-26 + 6y = 21

Add '26' to each side of the equation.
-26 + 26 + 6y = 21 + 26

Combine like terms: -26 + 26 = 0
0 + 6y = 21 + 26
6y = 21 + 26

Combine like terms: 21 + 26 = 47
6y = 47

Divide each side by '6'.
y = 7.833333333

Simplifying
y = 7.833333333

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