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

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


Simplifying
6(2 + y) = 3(3 + -1y)
(2 * 6 + y * 6) = 3(3 + -1y)
(12 + 6y) = 3(3 + -1y)
12 + 6y = (3 * 3 + -1y * 3)
12 + 6y = (9 + -3y)

Solving
12 + 6y = 9 + -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 = 9 + -3y + 3y

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

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

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

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

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

Divide each side by '9'.
y = -0.3333333333

Simplifying
y = -0.3333333333

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