y+9=5y-15

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


Simplifying
y + 9 = 5y + -15

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

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

Solving
9 + y = -15 + 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.
9 + y + -5y = -15 + 5y + -5y

Combine like terms: y + -5y = -4y
9 + -4y = -15 + 5y + -5y

Combine like terms: 5y + -5y = 0
9 + -4y = -15 + 0
9 + -4y = -15

Add '-9' to each side of the equation.
9 + -9 + -4y = -15 + -9

Combine like terms: 9 + -9 = 0
0 + -4y = -15 + -9
-4y = -15 + -9

Combine like terms: -15 + -9 = -24
-4y = -24

Divide each side by '-4'.
y = 6

Simplifying
y = 6

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