2(3y-1)-(y+6)=7

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Solution for 2(3y-1)-(y+6)=7 equation: 


Simplifying
2(3y + -1) + -1(y + 6) = 7

Reorder the terms:
2(-1 + 3y) + -1(y + 6) = 7
(-1 * 2 + 3y * 2) + -1(y + 6) = 7
(-2 + 6y) + -1(y + 6) = 7

Reorder the terms:
-2 + 6y + -1(6 + y) = 7
-2 + 6y + (6 * -1 + y * -1) = 7
-2 + 6y + (-6 + -1y) = 7

Reorder the terms:
-2 + -6 + 6y + -1y = 7

Combine like terms: -2 + -6 = -8
-8 + 6y + -1y = 7

Combine like terms: 6y + -1y = 5y
-8 + 5y = 7

Solving
-8 + 5y = 7

Solving for variable 'y'.

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

Add '8' to each side of the equation.
-8 + 8 + 5y = 7 + 8

Combine like terms: -8 + 8 = 0
0 + 5y = 7 + 8
5y = 7 + 8

Combine like terms: 7 + 8 = 15
5y = 15

Divide each side by '5'.
y = 3

Simplifying
y = 3

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