6y+y-13=3(y+3)

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Solution for 6y+y-13=3(y+3) equation:


Simplifying
6y + y + -13 = 3(y + 3)

Reorder the terms:
-13 + 6y + y = 3(y + 3)

Combine like terms: 6y + y = 7y
-13 + 7y = 3(y + 3)

Reorder the terms:
-13 + 7y = 3(3 + y)
-13 + 7y = (3 * 3 + y * 3)
-13 + 7y = (9 + 3y)

Solving
-13 + 7y = 9 + 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.
-13 + 7y + -3y = 9 + 3y + -3y

Combine like terms: 7y + -3y = 4y
-13 + 4y = 9 + 3y + -3y

Combine like terms: 3y + -3y = 0
-13 + 4y = 9 + 0
-13 + 4y = 9

Add '13' to each side of the equation.
-13 + 13 + 4y = 9 + 13

Combine like terms: -13 + 13 = 0
0 + 4y = 9 + 13
4y = 9 + 13

Combine like terms: 9 + 13 = 22
4y = 22

Divide each side by '4'.
y = 5.5

Simplifying
y = 5.5

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