7y-78=3y-2

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Solution for 7y-78=3y-2 equation:


Simplifying
7y + -78 = 3y + -2

Reorder the terms:
-78 + 7y = 3y + -2

Reorder the terms:
-78 + 7y = -2 + 3y

Solving
-78 + 7y = -2 + 3y

Solving for variable 'y'.

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

Add '-3y' to each side of the equation.
-78 + 7y + -3y = -2 + 3y + -3y

Combine like terms: 7y + -3y = 4y
-78 + 4y = -2 + 3y + -3y

Combine like terms: 3y + -3y = 0
-78 + 4y = -2 + 0
-78 + 4y = -2

Add '78' to each side of the equation.
-78 + 78 + 4y = -2 + 78

Combine like terms: -78 + 78 = 0
0 + 4y = -2 + 78
4y = -2 + 78

Combine like terms: -2 + 78 = 76
4y = 76

Divide each side by '4'.
y = 19

Simplifying
y = 19

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