5y+38=-2(y+9)

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Solution for 5y+38=-2(y+9) equation:


Simplifying
5y + 38 = -2(y + 9)

Reorder the terms:
38 + 5y = -2(y + 9)

Reorder the terms:
38 + 5y = -2(9 + y)
38 + 5y = (9 * -2 + y * -2)
38 + 5y = (-18 + -2y)

Solving
38 + 5y = -18 + -2y

Solving for variable 'y'.

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

Add '2y' to each side of the equation.
38 + 5y + 2y = -18 + -2y + 2y

Combine like terms: 5y + 2y = 7y
38 + 7y = -18 + -2y + 2y

Combine like terms: -2y + 2y = 0
38 + 7y = -18 + 0
38 + 7y = -18

Add '-38' to each side of the equation.
38 + -38 + 7y = -18 + -38

Combine like terms: 38 + -38 = 0
0 + 7y = -18 + -38
7y = -18 + -38

Combine like terms: -18 + -38 = -56
7y = -56

Divide each side by '7'.
y = -8

Simplifying
y = -8

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