6y+3=3y-7+y

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Solution for 6y+3=3y-7+y equation:


Simplifying
6y + 3 = 3y + -7 + y

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

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

Combine like terms: 3y + y = 4y
3 + 6y = -7 + 4y

Solving
3 + 6y = -7 + 4y

Solving for variable 'y'.

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

Add '-4y' to each side of the equation.
3 + 6y + -4y = -7 + 4y + -4y

Combine like terms: 6y + -4y = 2y
3 + 2y = -7 + 4y + -4y

Combine like terms: 4y + -4y = 0
3 + 2y = -7 + 0
3 + 2y = -7

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

Combine like terms: 3 + -3 = 0
0 + 2y = -7 + -3
2y = -7 + -3

Combine like terms: -7 + -3 = -10
2y = -10

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

Simplifying
y = -5

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