5y+37=3(y+9)

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Solution for 5y+37=3(y+9) equation: 


Simplifying
5y + 37 = 3(y + 9)

Reorder the terms:
37 + 5y = 3(y + 9)

Reorder the terms:
37 + 5y = 3(9 + y)
37 + 5y = (9 * 3 + y * 3)
37 + 5y = (27 + 3y)

Solving
37 + 5y = 27 + 3y

Solving for variable 'y'.

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

Add '-3y' to each side of the equation.
37 + 5y + -3y = 27 + 3y + -3y

Combine like terms: 5y + -3y = 2y
37 + 2y = 27 + 3y + -3y

Combine like terms: 3y + -3y = 0
37 + 2y = 27 + 0
37 + 2y = 27

Add '-37' to each side of the equation.
37 + -37 + 2y = 27 + -37

Combine like terms: 37 + -37 = 0
0 + 2y = 27 + -37
2y = 27 + -37

Combine like terms: 27 + -37 = -10
2y = -10

Divide each side by '2'.
y = -5

Simplifying
y = -5

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