-3y+12y+6=7y+30

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Solution for -3y+12y+6=7y+30 equation:


Simplifying
-3y + 12y + 6 = 7y + 30

Reorder the terms:
6 + -3y + 12y = 7y + 30

Combine like terms: -3y + 12y = 9y
6 + 9y = 7y + 30

Reorder the terms:
6 + 9y = 30 + 7y

Solving
6 + 9y = 30 + 7y

Solving for variable 'y'.

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

Add '-7y' to each side of the equation.
6 + 9y + -7y = 30 + 7y + -7y

Combine like terms: 9y + -7y = 2y
6 + 2y = 30 + 7y + -7y

Combine like terms: 7y + -7y = 0
6 + 2y = 30 + 0
6 + 2y = 30

Add '-6' to each side of the equation.
6 + -6 + 2y = 30 + -6

Combine like terms: 6 + -6 = 0
0 + 2y = 30 + -6
2y = 30 + -6

Combine like terms: 30 + -6 = 24
2y = 24

Divide each side by '2'.
y = 12

Simplifying
y = 12

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