(y-7)-(y+8)=5y

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Solution for (y-7)-(y+8)=5y equation: 


Simplifying
(y + -7) + -1(y + 8) = 5y

Reorder the terms:
(-7 + y) + -1(y + 8) = 5y

Remove parenthesis around (-7 + y)
-7 + y + -1(y + 8) = 5y

Reorder the terms:
-7 + y + -1(8 + y) = 5y
-7 + y + (8 * -1 + y * -1) = 5y
-7 + y + (-8 + -1y) = 5y

Reorder the terms:
-7 + -8 + y + -1y = 5y

Combine like terms: -7 + -8 = -15
-15 + y + -1y = 5y

Combine like terms: y + -1y = 0
-15 + 0 = 5y
-15 = 5y

Solving
-15 = 5y

Solving for variable 'y'.

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

Add '-5y' to each side of the equation.
-15 + -5y = 5y + -5y

Combine like terms: 5y + -5y = 0
-15 + -5y = 0

Add '15' to each side of the equation.
-15 + 15 + -5y = 0 + 15

Combine like terms: -15 + 15 = 0
0 + -5y = 0 + 15
-5y = 0 + 15

Combine like terms: 0 + 15 = 15
-5y = 15

Divide each side by '-5'.
y = -3

Simplifying
y = -3

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