5y+47=9(y+3)

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Solution for 5y+47=9(y+3) equation:


Simplifying
5y + 47 = 9(y + 3)

Reorder the terms:
47 + 5y = 9(y + 3)

Reorder the terms:
47 + 5y = 9(3 + y)
47 + 5y = (3 * 9 + y * 9)
47 + 5y = (27 + 9y)

Solving
47 + 5y = 27 + 9y

Solving for variable 'y'.

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

Add '-9y' to each side of the equation.
47 + 5y + -9y = 27 + 9y + -9y

Combine like terms: 5y + -9y = -4y
47 + -4y = 27 + 9y + -9y

Combine like terms: 9y + -9y = 0
47 + -4y = 27 + 0
47 + -4y = 27

Add '-47' to each side of the equation.
47 + -47 + -4y = 27 + -47

Combine like terms: 47 + -47 = 0
0 + -4y = 27 + -47
-4y = 27 + -47

Combine like terms: 27 + -47 = -20
-4y = -20

Divide each side by '-4'.
y = 5

Simplifying
y = 5

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