7y+31=3(y-3)

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Solution for 7y+31=3(y-3) equation: 


Simplifying
7y + 31 = 3(y + -3)

Reorder the terms:
31 + 7y = 3(y + -3)

Reorder the terms:
31 + 7y = 3(-3 + y)
31 + 7y = (-3 * 3 + y * 3)
31 + 7y = (-9 + 3y)

Solving
31 + 7y = -9 + 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.
31 + 7y + -3y = -9 + 3y + -3y

Combine like terms: 7y + -3y = 4y
31 + 4y = -9 + 3y + -3y

Combine like terms: 3y + -3y = 0
31 + 4y = -9 + 0
31 + 4y = -9

Add '-31' to each side of the equation.
31 + -31 + 4y = -9 + -31

Combine like terms: 31 + -31 = 0
0 + 4y = -9 + -31
4y = -9 + -31

Combine like terms: -9 + -31 = -40
4y = -40

Divide each side by '4'.
y = -10

Simplifying
y = -10

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