9y-38=4(y+3)

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Solution for 9y-38=4(y+3) equation:


Simplifying
9y + -38 = 4(y + 3)

Reorder the terms:
-38 + 9y = 4(y + 3)

Reorder the terms:
-38 + 9y = 4(3 + y)
-38 + 9y = (3 * 4 + y * 4)
-38 + 9y = (12 + 4y)

Solving
-38 + 9y = 12 + 4y

Solving for variable 'y'.

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

Add '-4y' to each side of the equation.
-38 + 9y + -4y = 12 + 4y + -4y

Combine like terms: 9y + -4y = 5y
-38 + 5y = 12 + 4y + -4y

Combine like terms: 4y + -4y = 0
-38 + 5y = 12 + 0
-38 + 5y = 12

Add '38' to each side of the equation.
-38 + 38 + 5y = 12 + 38

Combine like terms: -38 + 38 = 0
0 + 5y = 12 + 38
5y = 12 + 38

Combine like terms: 12 + 38 = 50
5y = 50

Divide each side by '5'.
y = 10

Simplifying
y = 10

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