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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 = -12y -5p + -1q + -12y = -1(y + 8b) Reorder the terms: -5p + -1q + -12y = -1(8b + y) -5p + -1q + -12y = (8b * -1 + y * -1) -5p + -1q + -12y = (-8b + -1y) Solving -5p + -1q + -12y = -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 + -12y = -8b + q + -1y Combine like terms: -1q + q = 0 -5p + 0 + -12y = -8b + q + -1y -5p + -12y = -8b + q + -1y Add '12y' to each side of the equation. -5p + -12y + 12y = -8b + q + -1y + 12y Combine like terms: -12y + 12y = 0 -5p + 0 = -8b + q + -1y + 12y -5p = -8b + q + -1y + 12y Combine like terms: -1y + 12y = 11y -5p = -8b + q + 11y Divide each side by '-5'. p = 1.6b + -0.2q + -2.2y Simplifying p = 1.6b + -0.2q + -2.2y
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