(y-8)-(y+9)=7y

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Solution for (y-8)-(y+9)=7y equation:


Simplifying
(y + -8) + -1(y + 9) = 7y

Reorder the terms:
(-8 + y) + -1(y + 9) = 7y

Remove parenthesis around (-8 + y)
-8 + y + -1(y + 9) = 7y

Reorder the terms:
-8 + y + -1(9 + y) = 7y
-8 + y + (9 * -1 + y * -1) = 7y
-8 + y + (-9 + -1y) = 7y

Reorder the terms:
-8 + -9 + y + -1y = 7y

Combine like terms: -8 + -9 = -17
-17 + y + -1y = 7y

Combine like terms: y + -1y = 0
-17 + 0 = 7y
-17 = 7y

Solving
-17 = 7y

Solving for variable 'y'.

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

Add '-7y' to each side of the equation.
-17 + -7y = 7y + -7y

Combine like terms: 7y + -7y = 0
-17 + -7y = 0

Add '17' to each side of the equation.
-17 + 17 + -7y = 0 + 17

Combine like terms: -17 + 17 = 0
0 + -7y = 0 + 17
-7y = 0 + 17

Combine like terms: 0 + 17 = 17
-7y = 17

Divide each side by '-7'.
y = -2.428571429

Simplifying
y = -2.428571429

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