2y+38=6(y+7)

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Solution for 2y+38=6(y+7) equation:


Simplifying
2y + 38 = 6(y + 7)

Reorder the terms:
38 + 2y = 6(y + 7)

Reorder the terms:
38 + 2y = 6(7 + y)
38 + 2y = (7 * 6 + y * 6)
38 + 2y = (42 + 6y)

Solving
38 + 2y = 42 + 6y

Solving for variable 'y'.

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

Add '-6y' to each side of the equation.
38 + 2y + -6y = 42 + 6y + -6y

Combine like terms: 2y + -6y = -4y
38 + -4y = 42 + 6y + -6y

Combine like terms: 6y + -6y = 0
38 + -4y = 42 + 0
38 + -4y = 42

Add '-38' to each side of the equation.
38 + -38 + -4y = 42 + -38

Combine like terms: 38 + -38 = 0
0 + -4y = 42 + -38
-4y = 42 + -38

Combine like terms: 42 + -38 = 4
-4y = 4

Divide each side by '-4'.
y = -1

Simplifying
y = -1

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