5y+14+y=3y-7

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Solution for 5y+14+y=3y-7 equation:


Simplifying
5y + 14 + y = 3y + -7

Reorder the terms:
14 + 5y + y = 3y + -7

Combine like terms: 5y + y = 6y
14 + 6y = 3y + -7

Reorder the terms:
14 + 6y = -7 + 3y

Solving
14 + 6y = -7 + 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.
14 + 6y + -3y = -7 + 3y + -3y

Combine like terms: 6y + -3y = 3y
14 + 3y = -7 + 3y + -3y

Combine like terms: 3y + -3y = 0
14 + 3y = -7 + 0
14 + 3y = -7

Add '-14' to each side of the equation.
14 + -14 + 3y = -7 + -14

Combine like terms: 14 + -14 = 0
0 + 3y = -7 + -14
3y = -7 + -14

Combine like terms: -7 + -14 = -21
3y = -21

Divide each side by '3'.
y = -7

Simplifying
y = -7

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