7y+52=3y-31

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Solution for 7y+52=3y-31 equation:


Simplifying
7y + 52 = 3y + -31

Reorder the terms:
52 + 7y = 3y + -31

Reorder the terms:
52 + 7y = -31 + 3y

Solving
52 + 7y = -31 + 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.
52 + 7y + -3y = -31 + 3y + -3y

Combine like terms: 7y + -3y = 4y
52 + 4y = -31 + 3y + -3y

Combine like terms: 3y + -3y = 0
52 + 4y = -31 + 0
52 + 4y = -31

Add '-52' to each side of the equation.
52 + -52 + 4y = -31 + -52

Combine like terms: 52 + -52 = 0
0 + 4y = -31 + -52
4y = -31 + -52

Combine like terms: -31 + -52 = -83
4y = -83

Divide each side by '4'.
y = -20.75

Simplifying
y = -20.75

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