(y-9)-(y+8)=3y

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Solution for (y-9)-(y+8)=3y equation:


Simplifying
(y + -9) + -1(y + 8) = 3y

Reorder the terms:
(-9 + y) + -1(y + 8) = 3y

Remove parenthesis around (-9 + y)
-9 + y + -1(y + 8) = 3y

Reorder the terms:
-9 + y + -1(8 + y) = 3y
-9 + y + (8 * -1 + y * -1) = 3y
-9 + y + (-8 + -1y) = 3y

Reorder the terms:
-9 + -8 + y + -1y = 3y

Combine like terms: -9 + -8 = -17
-17 + y + -1y = 3y

Combine like terms: y + -1y = 0
-17 + 0 = 3y
-17 = 3y

Solving
-17 = 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.
-17 + -3y = 3y + -3y

Combine like terms: 3y + -3y = 0
-17 + -3y = 0

Add '17' to each side of the equation.
-17 + 17 + -3y = 0 + 17

Combine like terms: -17 + 17 = 0
0 + -3y = 0 + 17
-3y = 0 + 17

Combine like terms: 0 + 17 = 17
-3y = 17

Divide each side by '-3'.
y = -5.666666667

Simplifying
y = -5.666666667

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