-7=3(y+6)-6y

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


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

Reorder the terms:
-7 = 3(6 + y) + -6y
-7 = (6 * 3 + y * 3) + -6y
-7 = (18 + 3y) + -6y

Combine like terms: 3y + -6y = -3y
-7 = 18 + -3y

Solving
-7 = 18 + -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.
-7 + 3y = 18 + -3y + 3y

Combine like terms: -3y + 3y = 0
-7 + 3y = 18 + 0
-7 + 3y = 18

Add '7' to each side of the equation.
-7 + 7 + 3y = 18 + 7

Combine like terms: -7 + 7 = 0
0 + 3y = 18 + 7
3y = 18 + 7

Combine like terms: 18 + 7 = 25
3y = 25

Divide each side by '3'.
y = 8.333333333

Simplifying
y = 8.333333333

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