-5(y+p)-(q-7y)=-(y+8b)

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


Simplifying
-5(y + p) + -1(q + -7y) = -1(y + 8b)

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

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

Combine like terms: -5y + 7y = 2y
-5p + -1q + 2y = -1(y + 8b)

Reorder the terms:
-5p + -1q + 2y = -1(8b + y)
-5p + -1q + 2y = (8b * -1 + y * -1)
-5p + -1q + 2y = (-8b + -1y)

Solving
-5p + -1q + 2y = -8b + -1y

Solving for variable 'p'.

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

Add 'q' to each side of the equation.
-5p + -1q + q + 2y = -8b + q + -1y

Combine like terms: -1q + q = 0
-5p + 0 + 2y = -8b + q + -1y
-5p + 2y = -8b + q + -1y

Add '-2y' to each side of the equation.
-5p + 2y + -2y = -8b + q + -1y + -2y

Combine like terms: 2y + -2y = 0
-5p + 0 = -8b + q + -1y + -2y
-5p = -8b + q + -1y + -2y

Combine like terms: -1y + -2y = -3y
-5p = -8b + q + -3y

Divide each side by '-5'.
p = 1.6b + -0.2q + 0.6y

Simplifying
p = 1.6b + -0.2q + 0.6y

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