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Simplifying -8y + -40 = -3(y + 5) Reorder the terms: -40 + -8y = -3(y + 5) Reorder the terms: -40 + -8y = -3(5 + y) -40 + -8y = (5 * -3 + y * -3) -40 + -8y = (-15 + -3y) Solving -40 + -8y = -15 + -3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '3y' to each side of the equation. -40 + -8y + 3y = -15 + -3y + 3y Combine like terms: -8y + 3y = -5y -40 + -5y = -15 + -3y + 3y Combine like terms: -3y + 3y = 0 -40 + -5y = -15 + 0 -40 + -5y = -15 Add '40' to each side of the equation. -40 + 40 + -5y = -15 + 40 Combine like terms: -40 + 40 = 0 0 + -5y = -15 + 40 -5y = -15 + 40 Combine like terms: -15 + 40 = 25 -5y = 25 Divide each side by '-5'. y = -5 Simplifying y = -5
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