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

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


Simplifying
6(2 + y) = 3(-1y)
(2 * 6 + y * 6) = 3(-1y)
(12 + 6y) = 3(-1y)

Remove parenthesis around (-1y)
12 + 6y = 3 * -1y

Multiply 3 * -1
12 + 6y = -3y

Solving
12 + 6y = -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 + 6y + 3y = -3y + 3y

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

Combine like terms: -3y + 3y = 0
12 + 9y = 0

Add '-12' to each side of the equation.
12 + -12 + 9y = 0 + -12

Combine like terms: 12 + -12 = 0
0 + 9y = 0 + -12
9y = 0 + -12

Combine like terms: 0 + -12 = -12
9y = -12

Divide each side by '9'.
y = -1.333333333

Simplifying
y = -1.333333333

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