(y-7)-(y+3)=8y

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Solution for (y-7)-(y+3)=8y equation:


Simplifying
(y + -7) + -1(y + 3) = 8y

Reorder the terms:
(-7 + y) + -1(y + 3) = 8y

Remove parenthesis around (-7 + y)
-7 + y + -1(y + 3) = 8y

Reorder the terms:
-7 + y + -1(3 + y) = 8y
-7 + y + (3 * -1 + y * -1) = 8y
-7 + y + (-3 + -1y) = 8y

Reorder the terms:
-7 + -3 + y + -1y = 8y

Combine like terms: -7 + -3 = -10
-10 + y + -1y = 8y

Combine like terms: y + -1y = 0
-10 + 0 = 8y
-10 = 8y

Solving
-10 = 8y

Solving for variable 'y'.

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

Add '-8y' to each side of the equation.
-10 + -8y = 8y + -8y

Combine like terms: 8y + -8y = 0
-10 + -8y = 0

Add '10' to each side of the equation.
-10 + 10 + -8y = 0 + 10

Combine like terms: -10 + 10 = 0
0 + -8y = 0 + 10
-8y = 0 + 10

Combine like terms: 0 + 10 = 10
-8y = 10

Divide each side by '-8'.
y = -1.25

Simplifying
y = -1.25

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