3(9+y)=2(y-3)

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Solution for 3(9+y)=2(y-3) equation:


Simplifying
3(9 + y) = 2(y + -3)
(9 * 3 + y * 3) = 2(y + -3)
(27 + 3y) = 2(y + -3)

Reorder the terms:
27 + 3y = 2(-3 + y)
27 + 3y = (-3 * 2 + y * 2)
27 + 3y = (-6 + 2y)

Solving
27 + 3y = -6 + 2y

Solving for variable 'y'.

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

Add '-2y' to each side of the equation.
27 + 3y + -2y = -6 + 2y + -2y

Combine like terms: 3y + -2y = 1y
27 + 1y = -6 + 2y + -2y

Combine like terms: 2y + -2y = 0
27 + 1y = -6 + 0
27 + 1y = -6

Add '-27' to each side of the equation.
27 + -27 + 1y = -6 + -27

Combine like terms: 27 + -27 = 0
0 + 1y = -6 + -27
1y = -6 + -27

Combine like terms: -6 + -27 = -33
1y = -33

Divide each side by '1'.
y = -33

Simplifying
y = -33

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