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Simplifying -8y + -43 = -5(y + 5) Reorder the terms: -43 + -8y = -5(y + 5) Reorder the terms: -43 + -8y = -5(5 + y) -43 + -8y = (5 * -5 + y * -5) -43 + -8y = (-25 + -5y) Solving -43 + -8y = -25 + -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. -43 + -8y + 5y = -25 + -5y + 5y Combine like terms: -8y + 5y = -3y -43 + -3y = -25 + -5y + 5y Combine like terms: -5y + 5y = 0 -43 + -3y = -25 + 0 -43 + -3y = -25 Add '43' to each side of the equation. -43 + 43 + -3y = -25 + 43 Combine like terms: -43 + 43 = 0 0 + -3y = -25 + 43 -3y = -25 + 43 Combine like terms: -25 + 43 = 18 -3y = 18 Divide each side by '-3'. y = -6 Simplifying y = -6
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