37+9y=2(3y+4)+2(4y+7)

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Solution for 37+9y=2(3y+4)+2(4y+7) equation:


Simplifying
37 + 9y = 2(3y + 4) + 2(4y + 7)

Reorder the terms:
37 + 9y = 2(4 + 3y) + 2(4y + 7)
37 + 9y = (4 * 2 + 3y * 2) + 2(4y + 7)
37 + 9y = (8 + 6y) + 2(4y + 7)

Reorder the terms:
37 + 9y = 8 + 6y + 2(7 + 4y)
37 + 9y = 8 + 6y + (7 * 2 + 4y * 2)
37 + 9y = 8 + 6y + (14 + 8y)

Reorder the terms:
37 + 9y = 8 + 14 + 6y + 8y

Combine like terms: 8 + 14 = 22
37 + 9y = 22 + 6y + 8y

Combine like terms: 6y + 8y = 14y
37 + 9y = 22 + 14y

Solving
37 + 9y = 22 + 14y

Solving for variable 'y'.

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

Add '-14y' to each side of the equation.
37 + 9y + -14y = 22 + 14y + -14y

Combine like terms: 9y + -14y = -5y
37 + -5y = 22 + 14y + -14y

Combine like terms: 14y + -14y = 0
37 + -5y = 22 + 0
37 + -5y = 22

Add '-37' to each side of the equation.
37 + -37 + -5y = 22 + -37

Combine like terms: 37 + -37 = 0
0 + -5y = 22 + -37
-5y = 22 + -37

Combine like terms: 22 + -37 = -15
-5y = -15

Divide each side by '-5'.
y = 3

Simplifying
y = 3

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