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

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


Simplifying
38 + -1y = -3(4y + 2)

Reorder the terms:
38 + -1y = -3(2 + 4y)
38 + -1y = (2 * -3 + 4y * -3)
38 + -1y = (-6 + -12y)

Solving
38 + -1y = -6 + -12y

Solving for variable 'y'.

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

Add '12y' to each side of the equation.
38 + -1y + 12y = -6 + -12y + 12y

Combine like terms: -1y + 12y = 11y
38 + 11y = -6 + -12y + 12y

Combine like terms: -12y + 12y = 0
38 + 11y = -6 + 0
38 + 11y = -6

Add '-38' to each side of the equation.
38 + -38 + 11y = -6 + -38

Combine like terms: 38 + -38 = 0
0 + 11y = -6 + -38
11y = -6 + -38

Combine like terms: -6 + -38 = -44
11y = -44

Divide each side by '11'.
y = -4

Simplifying
y = -4

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