8y+31=-3(y-3)

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Solution for 8y+31=-3(y-3) equation:


Simplifying
8y + 31 = -3(y + -3)

Reorder the terms:
31 + 8y = -3(y + -3)

Reorder the terms:
31 + 8y = -3(-3 + y)
31 + 8y = (-3 * -3 + y * -3)
31 + 8y = (9 + -3y)

Solving
31 + 8y = 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 + 8y + 3y = 9 + -3y + 3y

Combine like terms: 8y + 3y = 11y
31 + 11y = 9 + -3y + 3y

Combine like terms: -3y + 3y = 0
31 + 11y = 9 + 0
31 + 11y = 9

Add '-31' to each side of the equation.
31 + -31 + 11y = 9 + -31

Combine like terms: 31 + -31 = 0
0 + 11y = 9 + -31
11y = 9 + -31

Combine like terms: 9 + -31 = -22
11y = -22

Divide each side by '11'.
y = -2

Simplifying
y = -2

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