2y+38=7y-12

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Solution for 2y+38=7y-12 equation:


Simplifying
2y + 38 = 7y + -12

Reorder the terms:
38 + 2y = 7y + -12

Reorder the terms:
38 + 2y = -12 + 7y

Solving
38 + 2y = -12 + 7y

Solving for variable 'y'.

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

Add '-7y' to each side of the equation.
38 + 2y + -7y = -12 + 7y + -7y

Combine like terms: 2y + -7y = -5y
38 + -5y = -12 + 7y + -7y

Combine like terms: 7y + -7y = 0
38 + -5y = -12 + 0
38 + -5y = -12

Add '-38' to each side of the equation.
38 + -38 + -5y = -12 + -38

Combine like terms: 38 + -38 = 0
0 + -5y = -12 + -38
-5y = -12 + -38

Combine like terms: -12 + -38 = -50
-5y = -50

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

Simplifying
y = 10

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