6y+13+y=2y+3

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Solution for 6y+13+y=2y+3 equation:


Simplifying
6y + 13 + y = 2y + 3

Reorder the terms:
13 + 6y + y = 2y + 3

Combine like terms: 6y + y = 7y
13 + 7y = 2y + 3

Reorder the terms:
13 + 7y = 3 + 2y

Solving
13 + 7y = 3 + 2y

Solving for variable 'y'.

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

Add '-2y' to each side of the equation.
13 + 7y + -2y = 3 + 2y + -2y

Combine like terms: 7y + -2y = 5y
13 + 5y = 3 + 2y + -2y

Combine like terms: 2y + -2y = 0
13 + 5y = 3 + 0
13 + 5y = 3

Add '-13' to each side of the equation.
13 + -13 + 5y = 3 + -13

Combine like terms: 13 + -13 = 0
0 + 5y = 3 + -13
5y = 3 + -13

Combine like terms: 3 + -13 = -10
5y = -10

Divide each side by '5'.
y = -2

Simplifying
y = -2

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