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

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Solution for 7y+y+7=9-y+3y+13 equation:


Simplifying
7y + y + 7 = 9 + -1y + 3y + 13

Reorder the terms:
7 + 7y + y = 9 + -1y + 3y + 13

Combine like terms: 7y + y = 8y
7 + 8y = 9 + -1y + 3y + 13

Reorder the terms:
7 + 8y = 9 + 13 + -1y + 3y

Combine like terms: 9 + 13 = 22
7 + 8y = 22 + -1y + 3y

Combine like terms: -1y + 3y = 2y
7 + 8y = 22 + 2y

Solving
7 + 8y = 22 + 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.
7 + 8y + -2y = 22 + 2y + -2y

Combine like terms: 8y + -2y = 6y
7 + 6y = 22 + 2y + -2y

Combine like terms: 2y + -2y = 0
7 + 6y = 22 + 0
7 + 6y = 22

Add '-7' to each side of the equation.
7 + -7 + 6y = 22 + -7

Combine like terms: 7 + -7 = 0
0 + 6y = 22 + -7
6y = 22 + -7

Combine like terms: 22 + -7 = 15
6y = 15

Divide each side by '6'.
y = 2.5

Simplifying
y = 2.5

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