3y+38=4(2y)+8

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Solution for 3y+38=4(2y)+8 equation:


Simplifying
3y + 38 = 4(2y) + 8

Reorder the terms:
38 + 3y = 4(2y) + 8

Remove parenthesis around (2y)
38 + 3y = 4 * 2y + 8

Multiply 4 * 2
38 + 3y = 8y + 8

Reorder the terms:
38 + 3y = 8 + 8y

Solving
38 + 3y = 8 + 8y

Solving for variable 'y'.

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

Add '-8y' to each side of the equation.
38 + 3y + -8y = 8 + 8y + -8y

Combine like terms: 3y + -8y = -5y
38 + -5y = 8 + 8y + -8y

Combine like terms: 8y + -8y = 0
38 + -5y = 8 + 0
38 + -5y = 8

Add '-38' to each side of the equation.
38 + -38 + -5y = 8 + -38

Combine like terms: 38 + -38 = 0
0 + -5y = 8 + -38
-5y = 8 + -38

Combine like terms: 8 + -38 = -30
-5y = -30

Divide each side by '-5'.
y = 6

Simplifying
y = 6

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