3y+78=7y+26

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Solution for 3y+78=7y+26 equation:


Simplifying
3y + 78 = 7y + 26

Reorder the terms:
78 + 3y = 7y + 26

Reorder the terms:
78 + 3y = 26 + 7y

Solving
78 + 3y = 26 + 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.
78 + 3y + -7y = 26 + 7y + -7y

Combine like terms: 3y + -7y = -4y
78 + -4y = 26 + 7y + -7y

Combine like terms: 7y + -7y = 0
78 + -4y = 26 + 0
78 + -4y = 26

Add '-78' to each side of the equation.
78 + -78 + -4y = 26 + -78

Combine like terms: 78 + -78 = 0
0 + -4y = 26 + -78
-4y = 26 + -78

Combine like terms: 26 + -78 = -52
-4y = -52

Divide each side by '-4'.
y = 13

Simplifying
y = 13

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