38=4(y-3)+6y

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Solution for 38=4(y-3)+6y equation:


Simplifying
38 = 4(y + -3) + 6y

Reorder the terms:
38 = 4(-3 + y) + 6y
38 = (-3 * 4 + y * 4) + 6y
38 = (-12 + 4y) + 6y

Combine like terms: 4y + 6y = 10y
38 = -12 + 10y

Solving
38 = -12 + 10y

Solving for variable 'y'.

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

Add '-10y' to each side of the equation.
38 + -10y = -12 + 10y + -10y

Combine like terms: 10y + -10y = 0
38 + -10y = -12 + 0
38 + -10y = -12

Add '-38' to each side of the equation.
38 + -38 + -10y = -12 + -38

Combine like terms: 38 + -38 = 0
0 + -10y = -12 + -38
-10y = -12 + -38

Combine like terms: -12 + -38 = -50
-10y = -50

Divide each side by '-10'.
y = 5

Simplifying
y = 5

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