38=4y+7(y-4)

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Solution for 38=4y+7(y-4) equation:


Simplifying
38 = 4y + 7(y + -4)

Reorder the terms:
38 = 4y + 7(-4 + y)
38 = 4y + (-4 * 7 + y * 7)
38 = 4y + (-28 + 7y)

Reorder the terms:
38 = -28 + 4y + 7y

Combine like terms: 4y + 7y = 11y
38 = -28 + 11y

Solving
38 = -28 + 11y

Solving for variable 'y'.

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

Add '-11y' to each side of the equation.
38 + -11y = -28 + 11y + -11y

Combine like terms: 11y + -11y = 0
38 + -11y = -28 + 0
38 + -11y = -28

Add '-38' to each side of the equation.
38 + -38 + -11y = -28 + -38

Combine like terms: 38 + -38 = 0
0 + -11y = -28 + -38
-11y = -28 + -38

Combine like terms: -28 + -38 = -66
-11y = -66

Divide each side by '-11'.
y = 6

Simplifying
y = 6

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