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

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


Simplifying
3(3 + y) = 2(y + -7)
(3 * 3 + y * 3) = 2(y + -7)
(9 + 3y) = 2(y + -7)

Reorder the terms:
9 + 3y = 2(-7 + y)
9 + 3y = (-7 * 2 + y * 2)
9 + 3y = (-14 + 2y)

Solving
9 + 3y = -14 + 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.
9 + 3y + -2y = -14 + 2y + -2y

Combine like terms: 3y + -2y = 1y
9 + 1y = -14 + 2y + -2y

Combine like terms: 2y + -2y = 0
9 + 1y = -14 + 0
9 + 1y = -14

Add '-9' to each side of the equation.
9 + -9 + 1y = -14 + -9

Combine like terms: 9 + -9 = 0
0 + 1y = -14 + -9
1y = -14 + -9

Combine like terms: -14 + -9 = -23
1y = -23

Divide each side by '1'.
y = -23

Simplifying
y = -23

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