3y-38=7y+23

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Solution for 3y-38=7y+23 equation:


Simplifying
3y + -38 = 7y + 23

Reorder the terms:
-38 + 3y = 7y + 23

Reorder the terms:
-38 + 3y = 23 + 7y

Solving
-38 + 3y = 23 + 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 + 3y + -7y = 23 + 7y + -7y

Combine like terms: 3y + -7y = -4y
-38 + -4y = 23 + 7y + -7y

Combine like terms: 7y + -7y = 0
-38 + -4y = 23 + 0
-38 + -4y = 23

Add '38' to each side of the equation.
-38 + 38 + -4y = 23 + 38

Combine like terms: -38 + 38 = 0
0 + -4y = 23 + 38
-4y = 23 + 38

Combine like terms: 23 + 38 = 61
-4y = 61

Divide each side by '-4'.
y = -15.25

Simplifying
y = -15.25

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