3y+15=5y-9

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Solution for 3y+15=5y-9 equation:


Simplifying
3y + 15 = 5y + -9

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

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

Solving
15 + 3y = -9 + 5y

Solving for variable 'y'.

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

Add '-5y' to each side of the equation.
15 + 3y + -5y = -9 + 5y + -5y

Combine like terms: 3y + -5y = -2y
15 + -2y = -9 + 5y + -5y

Combine like terms: 5y + -5y = 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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