5y-9=2(y-15)

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Solution for 5y-9=2(y-15) equation:


Simplifying
5y + -9 = 2(y + -15)

Reorder the terms:
-9 + 5y = 2(y + -15)

Reorder the terms:
-9 + 5y = 2(-15 + y)
-9 + 5y = (-15 * 2 + y * 2)
-9 + 5y = (-30 + 2y)

Solving
-9 + 5y = -30 + 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 + 5y + -2y = -30 + 2y + -2y

Combine like terms: 5y + -2y = 3y
-9 + 3y = -30 + 2y + -2y

Combine like terms: 2y + -2y = 0
-9 + 3y = -30 + 0
-9 + 3y = -30

Add '9' to each side of the equation.
-9 + 9 + 3y = -30 + 9

Combine like terms: -9 + 9 = 0
0 + 3y = -30 + 9
3y = -30 + 9

Combine like terms: -30 + 9 = -21
3y = -21

Divide each side by '3'.
y = -7

Simplifying
y = -7

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