2(y+6)=3y-1

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


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

Reorder the terms:
2(6 + y) = 3y + -1
(6 * 2 + y * 2) = 3y + -1
(12 + 2y) = 3y + -1

Reorder the terms:
12 + 2y = -1 + 3y

Solving
12 + 2y = -1 + 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.
12 + 2y + -3y = -1 + 3y + -3y

Combine like terms: 2y + -3y = -1y
12 + -1y = -1 + 3y + -3y

Combine like terms: 3y + -3y = 0
12 + -1y = -1 + 0
12 + -1y = -1

Add '-12' to each side of the equation.
12 + -12 + -1y = -1 + -12

Combine like terms: 12 + -12 = 0
0 + -1y = -1 + -12
-1y = -1 + -12

Combine like terms: -1 + -12 = -13
-1y = -13

Divide each side by '-1'.
y = 13

Simplifying
y = 13

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