3(y+5)=y-9

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Solution for 3(y+5)=y-9 equation:


Simplifying
3(y + 5) = y + -9

Reorder the terms:
3(5 + y) = y + -9
(5 * 3 + y * 3) = y + -9
(15 + 3y) = y + -9

Reorder the terms:
15 + 3y = -9 + y

Solving
15 + 3y = -9 + y

Solving for variable 'y'.

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

Add '-1y' to each side of the equation.
15 + 3y + -1y = -9 + y + -1y

Combine like terms: 3y + -1y = 2y
15 + 2y = -9 + y + -1y

Combine like terms: y + -1y = 0
15 + 2y = -9 + 0
15 + 2y = -9

Add '-15' to each side of the equation.
15 + -15 + 2y = -9 + -15

Combine like terms: 15 + -15 = 0
0 + 2y = -9 + -15
2y = -9 + -15

Combine like terms: -9 + -15 = -24
2y = -24

Divide each side by '2'.
y = -12

Simplifying
y = -12

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